40025013000 has 512 divisors, whose sum is σ = 147498624000. Its totient is φ = 9031680000.

The previous prime is 40025012971. The next prime is 40025013023. The reversal of 40025013000 is 31052004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99812800 + ... + 99813200.

It is an arithmetic number, because the mean of its divisors is an integer number (288083250).

Almost surely, 2^40025013000 is an apocalyptic number.

40025013000 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 40025013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73749312000).

40025013000 is an abundant number, since it is smaller than the sum of its proper divisors (107473611000).

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

40025013000 is a wasteful number, since it uses less digits than its factorization.

40025013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 40025013000 its reverse (31052004), we get a palindrome (40056065004).

The spelling of 40025013000 in words is "forty billion, twenty-five million, thirteen thousand".