40435274079360 has 1920 divisors, whose sum is σ = 160390389416400. Its totient is φ = 9672613429248.

The previous prime is 40435274079359. The next prime is 40435274079401. The reversal of 40435274079360 is 6397047253404.

It is a happy number.

40435274079360 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 5 + 274 + 0 + 7 + 9 + 360 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 6992555190336 + 33442718889024 = 2644344^2 + 5782968^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×40435274079360² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40435274079297 and 40435274079306.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 65962926414 + ... + 65962927026.

Almost surely, 2^{40435274079360} is an apocalyptic number.

40435274079360 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 40435274079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80195194708200).

40435274079360 is an abundant number, since it is smaller than the sum of its proper divisors (119955115337040).

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

40435274079360 is a wasteful number, since it uses less digits than its factorization.

40435274079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 40435274079360 in words is "forty trillion, four hundred thirty-five billion, two hundred seventy-four million, seventy-nine thousand, three hundred sixty".