61317542400 has 240 divisors, whose sum is σ = 205590558624. Its totient is φ = 16106618880.

The previous prime is 61317542399. The next prime is 61317542401. The reversal of 61317542400 is 424571316.

It is an interprime number because it is at equal distance from previous prime (61317542399) and next prime (61317542401).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (61317542401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2560884 + ... + 2584716.

Almost surely, 2^61317542400 is an apocalyptic number.

61317542400 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 61317542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102795279312).

61317542400 is an abundant number, since it is smaller than the sum of its proper divisors (144273016224).

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

61317542400 is a wasteful number, since it uses less digits than its factorization.

61317542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23931 (or 23910 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 61317542400 in words is "sixty-one billion, three hundred seventeen million, five hundred forty-two thousand, four hundred".