40661913600 has 1248 divisors, whose sum is σ = 187210874880. Its totient is φ = 8404992000.

The previous prime is 40661913587. The next prime is 40661913619. The reversal of 40661913600 is 631916604.

40661913600 is a `hidden beast` number, since 4 + 0 + 6 + 619 + 1 + 36 + 0 + 0 = 666.

It is a super-2 number, since 2×40661913600² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212889505 + ... + 212889695.

Almost surely, 2^40661913600 is an apocalyptic number.

40661913600 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 40661913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93605437440).

40661913600 is an abundant number, since it is smaller than the sum of its proper divisors (146548961280).

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

40661913600 is a wasteful number, since it uses less digits than its factorization.

40661913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 40661913600 in words is "forty billion, six hundred sixty-one million, nine hundred thirteen thousand, six hundred".