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40374650880 = 21134548677
BaseRepresentation
bin100101100110100001…
…000100100000000000
310212012210000202220000
4211212201010200000
51130141402312010
630314200520000
72626343604264
oct454641044000
9125183022800
1040374650880
111613948a873
1279a9480000
133a65889a85
141d502540a4
1510b483e7c0
hex966844800

40374650880 has 240 divisors, whose sum is σ = 144718233660. Its totient is φ = 10766352384.

The previous prime is 40374650819. The next prime is 40374650881. The reversal of 40374650880 is 8805647304.

It can be written as a sum of positive squares in 2 ways, for example, as 40294941696 + 79709184 = 200736^2 + 8928^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×403746508802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40374650881) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 805102 + ... + 853778.

Almost surely, 240374650880 is an apocalyptic number.

40374650880 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 40374650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72359116830).

40374650880 is an abundant number, since it is smaller than the sum of its proper divisors (104343582780).

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

40374650880 is an equidigital number, since it uses as much as digits as its factorization.

40374650880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48716 (or 48687 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 40374650880 in words is "forty billion, three hundred seventy-four million, six hundred fifty thousand, eight hundred eighty".