61449136274400 has 2304 divisors, whose sum is σ = 255007678464000. Its totient is φ = 12811889664000.

The previous prime is 61449136274399. The next prime is 61449136274413. The reversal of 61449136274400 is 447263194416.

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, 31822441435 + ... + 31822443365.

It is an arithmetic number, because the mean of its divisors is an integer number (110680416000).

Almost surely, 2^{61449136274400} is an apocalyptic number.

61449136274400 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 61449136274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127503839232000).

61449136274400 is an abundant number, since it is smaller than the sum of its proper divisors (193558542189600).

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

61449136274400 is a wasteful number, since it uses less digits than its factorization.

61449136274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 61449136274400 in words is "sixty-one trillion, four hundred forty-nine billion, one hundred thirty-six million, two hundred seventy-four thousand, four hundred".