40642614540 has 192 divisors, whose sum is σ = 138948203520. Its totient is φ = 9780641280.

The previous prime is 40642614539. The next prime is 40642614583. The reversal of 40642614540 is 4541624604.

40642614540 is a `hidden beast` number, since 4 + 0 + 642 + 6 + 1 + 4 + 5 + 4 + 0 = 666.

40642614540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 40642614495 and 40642614504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 788809 + ... + 838751.

It is an arithmetic number, because the mean of its divisors is an integer number (723688560).

Almost surely, 2^40642614540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40642614540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69474101760).

40642614540 is an abundant number, since it is smaller than the sum of its proper divisors (98305588980).

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

40642614540 is a wasteful number, since it uses less digits than its factorization.

40642614540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50109 (or 50101 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 40642614540 in words is "forty billion, six hundred forty-two million, six hundred fourteen thousand, five hundred forty".