40874057952 has 576 divisors, whose sum is σ = 143116001280. Its totient is φ = 10095611904.

The previous prime is 40874057923. The next prime is 40874057993. The reversal of 40874057952 is 25975047804.

It is a happy number.

It is a super-2 number, since 2×40874057952² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40874057895 and 40874057904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147559638 + ... + 147559914.

It is an arithmetic number, because the mean of its divisors is an integer number (248465280).

Almost surely, 2^40874057952 is an apocalyptic number.

40874057952 is a gapful number since it is divisible by the number (42) 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 40874057952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71558000640).

40874057952 is an abundant number, since it is smaller than the sum of its proper divisors (102241943328).

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

40874057952 is a wasteful number, since it uses less digits than its factorization.

40874057952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 40874057952 in words is "forty billion, eight hundred seventy-four million, fifty-seven thousand, nine hundred fifty-two".