40807981440 has 384 divisors, whose sum is σ = 146846437920. Its totient is φ = 10829168640.

The previous prime is 40807981439. The next prime is 40807981451. The reversal of 40807981440 is 4418970804.

40807981440 is a `hidden beast` number, since 40 + 80 + 7 + 98 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 39968130 + ... + 39969150.

Almost surely, 2^40807981440 is an apocalyptic number.

40807981440 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 40807981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73423218960).

40807981440 is an abundant number, since it is smaller than the sum of its proper divisors (106038456480).

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

40807981440 is a wasteful number, since it uses less digits than its factorization.

40807981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 40807981440 in words is "forty billion, eight hundred seven million, nine hundred eighty-one thousand, four hundred forty".