40515515040 has 1536 divisors, whose sum is σ = 183476772864. Its totient is φ = 7245987840.

The previous prime is 40515515039. The next prime is 40515515063. The reversal of 40515515040 is 4051551504.

40515515040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40515514989 and 40515515007.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 764443654 + ... + 764443706.

It is an arithmetic number, because the mean of its divisors is an integer number (119451024).

Almost surely, 2^40515515040 is an apocalyptic number.

40515515040 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 40515515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91738386432).

40515515040 is an abundant number, since it is smaller than the sum of its proper divisors (142961257824).

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

40515515040 is a wasteful number, since it uses less digits than its factorization.

40515515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

It can be divided in two parts, 40515 and 515040, that added together give a palindrome (555555).

The spelling of 40515515040 in words is "forty billion, five hundred fifteen million, five hundred fifteen thousand, forty".