40088448840000 has 2240 divisors, whose sum is σ = 157957757337600. Its totient is φ = 8865561600000.

The previous prime is 40088448839977. The next prime is 40088448840061. The reversal of 40088448840000 is 4884488004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 83691959761 + ... + 83691960239.

Almost surely, 2^{40088448840000} is an apocalyptic number.

40088448840000 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 40088448840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78978878668800).

40088448840000 is an abundant number, since it is smaller than the sum of its proper divisors (117869308497600).

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

40088448840000 is a wasteful number, since it uses less digits than its factorization.

40088448840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 40088448840000 in words is "forty trillion, eighty-eight billion, four hundred forty-eight million, eight hundred forty thousand".