40448750400000 has 2160 divisors, whose sum is σ = 159597733591296. Its totient is φ = 9849600000000.

The previous prime is 40448750399929. The next prime is 40448750400017. The reversal of 40448750400000 is 405784404.

It is a super-2 number, since 2×40448750400000² (a number of 28 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 161150399875 + ... + 161150400125.

Almost surely, 2^{40448750400000} is an apocalyptic number.

40448750400000 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 40448750400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79798866795648).

40448750400000 is an abundant number, since it is smaller than the sum of its proper divisors (119148983191296).

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

40448750400000 is an equidigital number, since it uses as much as digits as its factorization.

40448750400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 40448750400000 in words is "forty trillion, four hundred forty-eight billion, seven hundred fifty million, four hundred thousand".