40926387600 has 540 divisors, whose sum is σ = 173923548240. Its totient is φ = 8861529600.

The previous prime is 40926387589. The next prime is 40926387637. The reversal of 40926387600 is 678362904.

40926387600 is a `hidden beast` number, since 4 + 0 + 9 + 2 + 6 + 38 + 7 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3345495 + ... + 3357705.

Almost surely, 2^40926387600 is an apocalyptic number.

40926387600 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 40926387600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86961774120).

40926387600 is an abundant number, since it is smaller than the sum of its proper divisors (132997160640).

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

40926387600 is a wasteful number, since it uses less digits than its factorization.

40926387600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12268 (or 12247 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 40926387600 in words is "forty billion, nine hundred twenty-six million, three hundred eighty-seven thousand, six hundred".