40624597440 has 1120 divisors, whose sum is σ = 174478639104. Its totient is φ = 8778792960.

The previous prime is 40624597411. The next prime is 40624597457. The reversal of 40624597440 is 4479542604.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 319878657 + ... + 319878783.

Almost surely, 2^40624597440 is an apocalyptic number.

40624597440 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 40624597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87239319552).

40624597440 is an abundant number, since it is smaller than the sum of its proper divisors (133854041664).

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

40624597440 is a wasteful number, since it uses less digits than its factorization.

40624597440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 40624597440 in words is "forty billion, six hundred twenty-four million, five hundred ninety-seven thousand, four hundred forty".