61464410400 has 144 divisors (see below), whose sum is σ = 200153939328. Its totient is φ = 16383360000.

The previous prime is 61464410393. The next prime is 61464410429. The reversal of 61464410400 is 401446416.

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, 7726425 + ... + 7734375.

It is an arithmetic number, because the mean of its divisors is an integer number (1389957912).

Almost surely, 2^61464410400 is an apocalyptic number.

61464410400 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 61464410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100076969664).

61464410400 is an abundant number, since it is smaller than the sum of its proper divisors (138689528928).

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

61464410400 is a wasteful number, since it uses less digits than its factorization.

61464410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11195 (or 11182 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 61464410400 its reverse (401446416), we get a palindrome (61865856816).

The spelling of 61464410400 in words is "sixty-one billion, four hundred sixty-four million, four hundred ten thousand, four hundred".