40125525000 has 384 divisors, whose sum is σ = 144879477120. Its totient is φ = 9152000000.

The previous prime is 40125524987. The next prime is 40125525019. The reversal of 40125525000 is 52552104.

It is a happy number.

It is a super-2 number, since 2×40125525000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14023570 + ... + 14026430.

It is an arithmetic number, because the mean of its divisors is an integer number (377290305).

Almost surely, 2^40125525000 is an apocalyptic number.

40125525000 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 40125525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72439738560).

40125525000 is an abundant number, since it is smaller than the sum of its proper divisors (104753952120).

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

40125525000 is a wasteful number, since it uses less digits than its factorization.

40125525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The spelling of 40125525000 in words is "forty billion, one hundred twenty-five million, five hundred twenty-five thousand".