61414352400 has 120 divisors (see below), whose sum is σ = 196785645984. Its totient is φ = 16372582400.

The previous prime is 61414352387. The next prime is 61414352413. The reversal of 61414352400 is 425341416.

It is an interprime number because it is at equal distance from previous prime (61414352387) and next prime (61414352413).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×61414352400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8541607 + ... + 8548793.

Almost surely, 2^61414352400 is an apocalyptic number.

61414352400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61414352400 is an abundant number, since it is smaller than the sum of its proper divisors (135371293584).

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

61414352400 is a wasteful number, since it uses less digits than its factorization.

61414352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14329 (or 14318 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 61414352400 its reverse (425341416), we get a palindrome (61839693816).

The spelling of 61414352400 in words is "sixty-one billion, four hundred fourteen million, three hundred fifty-two thousand, four hundred".