61801605440400 has 960 divisors, whose sum is σ = 232801193484288. Its totient is φ = 13724504801280.

The previous prime is 61801605440363. The next prime is 61801605440401. The reversal of 61801605440400 is 404450610816.

It is not an unprimeable number, because it can be changed into a prime (61801605440401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12442438717 + ... + 12442443683.

Almost surely, 2^{61801605440400} is an apocalyptic number.

61801605440400 is a gapful number since it is divisible by the number (60) 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 61801605440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116400596742144).

61801605440400 is an abundant number, since it is smaller than the sum of its proper divisors (170999588043888).

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

61801605440400 is a wasteful number, since it uses less digits than its factorization.

61801605440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5368 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 61801605440400 in words is "sixty-one trillion, eight hundred one billion, six hundred five million, four hundred forty thousand, four hundred".