54412457190400 has 99 divisors (see below), whose sum is σ = 134879929368841. Its totient is φ = 21764510781440.

The previous prime is 54412457190397. The next prime is 54412457190407. The reversal of 54412457190400 is 409175421445.

The square root of 54412457190400 is 7376480.

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

It can be written as a sum of positive squares in only one way, i.e., 19588484588544 + 34823972601856 = 4425888^2 + 5901184^2 .

It is a super-2 number, since 2×54412457190400² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54412457190407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1180213749 + ... + 1180259851.

Almost surely, 2^{54412457190400} is an apocalyptic number.

54412457190400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54412457190400 is the 7376480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54412457190400

54412457190400 is an abundant number, since it is smaller than the sum of its proper divisors (80467472178441).

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

54412457190400 is an frugal number, since it uses more digits than its factorization.

54412457190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92236 (or 46110 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 54412457190400 in words is "fifty-four trillion, four hundred twelve billion, four hundred fifty-seven million, one hundred ninety thousand, four hundred".