61494080400 has 135 divisors (see below), whose sum is σ = 213453186739. Its totient is φ = 16394453760.

The previous prime is 61494080369. The next prime is 61494080413. The reversal of 61494080400 is 408049416.

It is a happy number.

The square root of 61494080400 is 247980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 718025616 + 60776054784 = 26796^2 + 246528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14876734 + ... + 14880866.

Almost surely, 2^61494080400 is an apocalyptic number.

61494080400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

61494080400 is the 247980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61494080400

61494080400 is an abundant number, since it is smaller than the sum of its proper divisors (151959106339).

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

61494080400 is an equidigital number, since it uses as much as digits as its factorization.

61494080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8290 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 61494080400 by its sum of digits (36), we get a square (2213786894400 = 1487880²).

61494080400 divided by its sum of digits (36) gives a square (1708168900 = 41330²).

The spelling of 61494080400 in words is "sixty-one billion, four hundred ninety-four million, eighty thousand, four hundred".