1630933326400 has 189 divisors, whose sum is σ = 4669341570747. Its totient is φ = 559054540800.

The previous prime is 1630933326371. The next prime is 1630933326419. The reversal of 1630933326400 is 46233390361.

The square root of 1630933326400 is 1277080.

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 152043845184 + 1478889481216 = 389928^2 + 1216096^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 357580120 + ... + 357584680.

Almost surely, 2^{1630933326400} is an apocalyptic number.

1630933326400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1630933326400 is the 1277080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1630933326400

1630933326400 is an abundant number, since it is smaller than the sum of its proper divisors (3038408244347).

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

1630933326400 is an frugal number, since it uses more digits than its factorization.

1630933326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9158 (or 4575 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 40.

The spelling of 1630933326400 in words is "one trillion, six hundred thirty billion, nine hundred thirty-three million, three hundred twenty-six thousand, four hundred".