40900204800 has 1944 divisors, whose sum is σ = 198262407616. Its totient is φ = 8121876480.

The previous prime is 40900204777. The next prime is 40900204819. The reversal of 40900204800 is 840200904.

It is a tau number, because it is divible by the number of its divisors (1944).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2405894392 + ... + 2405894408.

Almost surely, 2^40900204800 is an apocalyptic number.

40900204800 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 40900204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99131203808).

40900204800 is an abundant number, since it is smaller than the sum of its proper divisors (157362202816).

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

40900204800 is a wasteful number, since it uses less digits than its factorization.

40900204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 40900204800 in words is "forty billion, nine hundred million, two hundred four thousand, eight hundred".