420403674240 has 384 divisors, whose sum is σ = 1585942675200. Its totient is φ = 101770444800.

The previous prime is 420403674239. The next prime is 420403674277. The reversal of 420403674240 is 42476304024.

420403674240 is a `hidden beast` number, since 4 + 2 + 0 + 403 + 6 + 7 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 420403674195 and 420403674204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48212601 + ... + 48221319.

It is an arithmetic number, because the mean of its divisors is an integer number (4130059050).

Almost surely, 2^420403674240 is an apocalyptic number.

420403674240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420403674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792971337600).

420403674240 is an abundant number, since it is smaller than the sum of its proper divisors (1165539000960).

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

420403674240 is a wasteful number, since it uses less digits than its factorization.

420403674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9501 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

Adding to 420403674240 its reverse (42476304024), we get a palindrome (462879978264).

The spelling of 420403674240 in words is "four hundred twenty billion, four hundred three million, six hundred seventy-four thousand, two hundred forty".