40059963328000 has 1280 divisors, whose sum is σ = 132626054246400. Its totient is φ = 11941687296000.

The previous prime is 40059963327991. The next prime is 40059963328001. The reversal of 40059963328000 is 82336995004.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40059963328001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5553852394 + ... + 5553859606.

It is an arithmetic number, because the mean of its divisors is an integer number (103614104880).

Almost surely, 2^{40059963328000} is an apocalyptic number.

40059963328000 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 40059963328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66313027123200).

40059963328000 is an abundant number, since it is smaller than the sum of its proper divisors (92566090918400).

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

40059963328000 is an equidigital number, since it uses as much as digits as its factorization.

40059963328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7301 (or 7261 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

The spelling of 40059963328000 in words is "forty trillion, fifty-nine billion, nine hundred sixty-three million, three hundred twenty-eight thousand".