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400840480840 = 23510021012021
BaseRepresentation
bin1011101010100111111…
…01000101100001001000
31102022122021002012221211
411311103331011201020
523031410130341330
6504051002342504
740650125604322
oct5652375054110
91368567065854
10400840480840
11144aa5002068
12658287baa34
132ba507c5897
1415587a68612
15a6605b9d2a
hex5d53f45848

400840480840 has 16 divisors (see below), whose sum is σ = 901891081980. Its totient is φ = 160336192320.

The previous prime is 400840480757. The next prime is 400840480927. The reversal of 400840480840 is 48084048004.

It can be written as a sum of positive squares in 2 ways, for example, as 364953724996 + 35886755844 = 604114^2 + 189438^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 10021012021 = 400840480840 / (4 + 0 + 0 + 8 + 4 + 0 + 4 + 8 + 0 + 8 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 400840480793 and 400840480802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5010505971 + ... + 5010506050.

Almost surely, 2400840480840 is an apocalyptic number.

400840480840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400840480840 is an abundant number, since it is smaller than the sum of its proper divisors (501050601140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400840480840 is a wasteful number, since it uses less digits than its factorization.

400840480840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021012032 (or 10021012028 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 400840480840 in words is "four hundred billion, eight hundred forty million, four hundred eighty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 10021012021 20042024042 40084048084 50105060105 80168096168 100210120210 200420240420 400840480840