40900053600 has 1152 divisors, whose sum is σ = 185988096000. Its totient is φ = 8457799680.

The previous prime is 40900053599. The next prime is 40900053613. The reversal of 40900053600 is 635000904.

It is a happy number.

40900053600 is a `hidden beast` number, since 4 + 0 + 9 + 0 + 0 + 0 + 53 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66074091 + ... + 66074709.

It is an arithmetic number, because the mean of its divisors is an integer number (161448000).

Almost surely, 2^40900053600 is an apocalyptic number.

40900053600 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 40900053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92994048000).

40900053600 is an abundant number, since it is smaller than the sum of its proper divisors (145088042400).

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

40900053600 is a wasteful number, since it uses less digits than its factorization.

40900053600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 40900053600 in words is "forty billion, nine hundred million, fifty-three thousand, six hundred".