40926542400 has 252 divisors, whose sum is σ = 145865850000. Its totient is φ = 10883496960.

The previous prime is 40926542387. The next prime is 40926542497. The reversal of 40926542400 is 424562904.

40926542400 is a `hidden beast` number, since 409 + 2 + 6 + 5 + 4 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5453851 + ... + 5461349.

Almost surely, 2^40926542400 is an apocalyptic number.

40926542400 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 40926542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72932925000).

40926542400 is an abundant number, since it is smaller than the sum of its proper divisors (104939307600).

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

40926542400 is a wasteful number, since it uses less digits than its factorization.

40926542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7906 (or 7888 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 40926542400 in words is "forty billion, nine hundred twenty-six million, five hundred forty-two thousand, four hundred".