40251415204 has 192 divisors, whose sum is σ = 96027531264. Its totient is φ = 14374800000.

The previous prime is 40251415199. The next prime is 40251415207.

40251415204 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (40251415207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121605319 + ... + 121605649.

It is an arithmetic number, because the mean of its divisors is an integer number (500143392).

Almost surely, 2^40251415204 is an apocalyptic number.

40251415204 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 40251415204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48013765632).

40251415204 is an abundant number, since it is smaller than the sum of its proper divisors (55776116060).

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

40251415204 is a wasteful number, since it uses less digits than its factorization.

40251415204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The spelling of 40251415204 in words is "forty billion, two hundred fifty-one million, four hundred fifteen thousand, two hundred four".