40587402240 has 1760 divisors, whose sum is σ = 191745404928. Its totient is φ = 7962624000.

The previous prime is 40587402239. The next prime is 40587402269. The reversal of 40587402240 is 4220478504.

40587402240 is a `hidden beast` number, since 4 + 0 + 5 + 8 + 7 + 402 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40587402195 and 40587402204.

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, 989936620 + ... + 989936660.

Almost surely, 2^40587402240 is an apocalyptic number.

40587402240 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 40587402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95872702464).

40587402240 is an abundant number, since it is smaller than the sum of its proper divisors (151158002688).

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

40587402240 is a wasteful number, since it uses less digits than its factorization.

40587402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 40587402240 in words is "forty billion, five hundred eighty-seven million, four hundred two thousand, two hundred forty".