61425420446400 has 336 divisors, whose sum is σ = 212346314204160. Its totient is φ = 15502413312000.

The previous prime is 61425420446323. The next prime is 61425420446497. The reversal of 61425420446400 is 464402452416.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90588625 + ... + 91264175.

Almost surely, 2^{61425420446400} is an apocalyptic number.

61425420446400 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 61425420446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106173157102080).

61425420446400 is an abundant number, since it is smaller than the sum of its proper divisors (150920893757760).

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

61425420446400 is a wasteful number, since it uses less digits than its factorization.

61425420446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676592 (or 676577 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

Adding to 61425420446400 its reverse (464402452416), we get a palindrome (61889822898816).

The spelling of 61425420446400 in words is "sixty-one trillion, four hundred twenty-five billion, four hundred twenty million, four hundred forty-six thousand, four hundred".