61418875190400 has 6912 divisors, whose sum is σ = 311152504965120. Its totient is φ = 11609505792000.

The previous prime is 61418875190381. The next prime is 61418875190401. The reversal of 61418875190400 is 409157881416.

61418875190400 is a `hidden beast` number, since 6 + 1 + 4 + 1 + 8 + 87 + 519 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61418875190401) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1006866806370 + ... + 1006866806430.

It is an arithmetic number, because the mean of its divisors is an integer number (45016276760).

Almost surely, 2^{61418875190400} is an apocalyptic number.

61418875190400 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 61418875190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155576252482560).

61418875190400 is an abundant number, since it is smaller than the sum of its proper divisors (249733629774720).

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

61418875190400 is a wasteful number, since it uses less digits than its factorization.

61418875190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 61418875190400 in words is "sixty-one trillion, four hundred eighteen billion, eight hundred seventy-five million, one hundred ninety thousand, four hundred".