40657256640 has 1120 divisors, whose sum is σ = 194305757184. Its totient is φ = 7793418240.

The previous prime is 40657256599. The next prime is 40657256657. The reversal of 40657256640 is 4665275604.

40657256640 is a `hidden beast` number, since 40 + 6 + 5 + 7 + 2 + 566 + 40 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25945137 + ... + 25946703.

Almost surely, 2^40657256640 is an apocalyptic number.

40657256640 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 40657256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97152878592).

40657256640 is an abundant number, since it is smaller than the sum of its proper divisors (153648500544).

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

40657256640 is a wasteful number, since it uses less digits than its factorization.

40657256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 40657256640 in words is "forty billion, six hundred fifty-seven million, two hundred fifty-six thousand, six hundred forty".