1997077712400 has 315 divisors, whose sum is σ = 7196427887511. Its totient is φ = 532350558720.

The previous prime is 1997077712393. The next prime is 1997077712429. The reversal of 1997077712400 is 42177707991.

The square root of 1997077712400 is 1413180.

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

1997077712400 is a `hidden beast` number, since 1 + 99 + 70 + 7 + 77 + 12 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 437296528656 + 1559781183744 = 661284^2 + 1248912^2 .

It is a super-2 number, since 2×1997077712400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 763115892 + ... + 763118508.

Almost surely, 2^{1997077712400} is an apocalyptic number.

1997077712400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1997077712400 is the 1413180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1997077712400

1997077712400 is an abundant number, since it is smaller than the sum of its proper divisors (5199350175111).

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

1997077712400 is an frugal number, since it uses more digits than its factorization.

1997077712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 1555848, while the sum is 54.

The spelling of 1997077712400 in words is "one trillion, nine hundred ninety-seven billion, seventy-seven million, seven hundred twelve thousand, four hundred".