40515746880 has 672 divisors, whose sum is σ = 155975279616. Its totient is φ = 8725635072.

The previous prime is 40515746867. The next prime is 40515746881. The reversal of 40515746880 is 8864751504.

40515746880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (40515746881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 378651787 + ... + 378651893.

Almost surely, 2^40515746880 is an apocalyptic number.

40515746880 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 40515746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77987639808).

40515746880 is an abundant number, since it is smaller than the sum of its proper divisors (115459532736).

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

40515746880 is a wasteful number, since it uses less digits than its factorization.

40515746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 40515746880 in words is "forty billion, five hundred fifteen million, seven hundred forty-six thousand, eight hundred eighty".