4040375040000 has 2880 divisors, whose sum is σ = 17827506496800. Its totient is φ = 895352832000.

The previous prime is 4040375039971. The next prime is 4040375040029. The reversal of 4040375040000 is 405730404.

It is an interprime number because it is at equal distance from previous prime (4040375039971) and next prime (4040375040029).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 175668479989 + ... + 175668480011.

Almost surely, 2^{4040375040000} is an apocalyptic number.

4040375040000 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 4040375040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8913753248400).

4040375040000 is an abundant number, since it is smaller than the sum of its proper divisors (13787131456800).

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

4040375040000 is a wasteful number, since it uses less digits than its factorization.

4040375040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 4040375040000 in words is "four trillion, forty billion, three hundred seventy-five million, forty thousand".