40125298245120 has 960 divisors, whose sum is σ = 156883838791680. Its totient is φ = 9389791641600.

The previous prime is 40125298245107. The next prime is 40125298245157. The reversal of 40125298245120 is 2154289252104.

40125298245120 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 52 + 9 + 82 + 4 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×40125298245120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3213359517 + ... + 3213372003.

It is an arithmetic number, because the mean of its divisors is an integer number (163420665408).

Almost surely, 2^{40125298245120} is an apocalyptic number.

40125298245120 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 40125298245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78441919395840).

40125298245120 is an abundant number, since it is smaller than the sum of its proper divisors (116758540546560).

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

40125298245120 is a wasteful number, since it uses less digits than its factorization.

40125298245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12967 (or 12948 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 40125298245120 in words is "forty trillion, one hundred twenty-five billion, two hundred ninety-eight million, two hundred forty-five thousand, one hundred twenty".