40574758400 has 480 divisors, whose sum is σ = 119646806400. Its totient is φ = 13470105600.

The previous prime is 40574758397. The next prime is 40574758409. The reversal of 40574758400 is 485747504.

It is a super-2 number, since 2×40574758400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40574758409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77580539 + ... + 77581061.

It is an arithmetic number, because the mean of its divisors is an integer number (249264180).

Almost surely, 2^40574758400 is an apocalyptic number.

40574758400 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 40574758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59823403200).

40574758400 is an abundant number, since it is smaller than the sum of its proper divisors (79072048000).

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

40574758400 is a wasteful number, since it uses less digits than its factorization.

40574758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 44.

The spelling of 40574758400 in words is "forty billion, five hundred seventy-four million, seven hundred fifty-eight thousand, four hundred".