40488804000 has 576 divisors, whose sum is σ = 149437884960. Its totient is φ = 10373529600.

The previous prime is 40488803983. The next prime is 40488804011. The reversal of 40488804000 is 40888404.

It can be written as a sum of positive squares in 16 ways, for example, as 11953486224 + 28535317776 = 109332^2 + 168924^2 .

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 95 ways as a sum of consecutive naturals, for example, 150515866 + ... + 150516134.

Almost surely, 2^40488804000 is an apocalyptic number.

40488804000 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 40488804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74718942480).

40488804000 is an abundant number, since it is smaller than the sum of its proper divisors (108949080960).

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

40488804000 is a wasteful number, since it uses less digits than its factorization.

40488804000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 40488804000 in words is "forty billion, four hundred eighty-eight million, eight hundred four thousand".