40561597802880 has 3072 divisors, whose sum is σ = 188732104704000. Its totient is φ = 7778475048960.

The previous prime is 40561597802879. The next prime is 40561597802909. The reversal of 40561597802880 is 8820879516504.

40561597802880 is a `hidden beast` number, since 4 + 0 + 5 + 615 + 9 + 7 + 8 + 0 + 2 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39039073401 + ... + 39039074439.

It is an arithmetic number, because the mean of its divisors is an integer number (61436232000).

Almost surely, 2^{40561597802880} is an apocalyptic number.

40561597802880 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 40561597802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94366052352000).

40561597802880 is an abundant number, since it is smaller than the sum of its proper divisors (148170506901120).

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

40561597802880 is a wasteful number, since it uses less digits than its factorization.

40561597802880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 40561597802880 in words is "forty trillion, five hundred sixty-one billion, five hundred ninety-seven million, eight hundred two thousand, eight hundred eighty".