40525833852504 has 2048 divisors, whose sum is σ = 165084659712000. Its totient is φ = 8861989939200.

The previous prime is 40525833852467. The next prime is 40525833852593.

40525833852504 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 5 + 8 + 3 + 385 + 250 + 4 = 666.

40525833852504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 28399322239 + ... + 28399323665.

It is an arithmetic number, because the mean of its divisors is an integer number (80607744000).

Almost surely, 2^{40525833852504} is an apocalyptic number.

40525833852504 is a gapful number since it is divisible by the number (44) 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 40525833852504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82542329856000).

40525833852504 is an abundant number, since it is smaller than the sum of its proper divisors (124558825859496).

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

40525833852504 is a wasteful number, since it uses less digits than its factorization.

40525833852504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 54.

The spelling of 40525833852504 in words is "forty trillion, five hundred twenty-five billion, eight hundred thirty-three million, eight hundred fifty-two thousand, five hundred four".