40011439104000 has 6272 divisors, whose sum is σ = 200233246187520. Its totient is φ = 7739670528000.

The previous prime is 40011439103989. The next prime is 40011439104137. The reversal of 40011439104000 is 40193411004.

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 447 ways as a sum of consecutive naturals, for example, 1290691583985 + ... + 1290691584015.

Almost surely, 2^{40011439104000} is an apocalyptic number.

40011439104000 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 40011439104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100116623093760).

40011439104000 is an abundant number, since it is smaller than the sum of its proper divisors (160221807083520).

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

40011439104000 is an equidigital number, since it uses as much as digits as its factorization.

40011439104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 40011439104000 in words is "forty trillion, eleven billion, four hundred thirty-nine million, one hundred four thousand".