1631444198400 has 495 divisors, whose sum is σ = 6047864380129. Its totient is φ = 434561310720.

The previous prime is 1631444198389. The next prime is 1631444198407. The reversal of 1631444198400 is 48914441361.

The square root of 1631444198400 is 1277280.

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

1631444198400 is a `hidden beast` number, since 1 + 6 + 3 + 14 + 44 + 198 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 587319911424 + 1044124286976 = 766368^2 + 1021824^2 .

It is a super-2 number, since 2×1631444198400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1631444198407) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1839282757 + ... + 1839283643.

Almost surely, 2^{1631444198400} is an apocalyptic number.

1631444198400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1631444198400 is the 1277280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1631444198400

1631444198400 is an abundant number, since it is smaller than the sum of its proper divisors (4416420181729).

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

1631444198400 is an frugal number, since it uses more digits than its factorization.

1631444198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1631444198400 in words is "one trillion, six hundred thirty-one billion, four hundred forty-four million, one hundred ninety-eight thousand, four hundred".