1958376336400 has 135 divisors (see below), whose sum is σ = 5172423780279. Its totient is φ = 712024896000.

The previous prime is 1958376336341. The next prime is 1958376336409. The reversal of 1958376336400 is 46336738591.

The square root of 1958376336400 is 1399420.

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 307213015824 + 1651163320576 = 554268^2 + 1284976^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1958376336409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 307869220 + ... + 307875580.

Almost surely, 2^{1958376336400} is an apocalyptic number.

1958376336400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1958376336400 is the 1399420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1958376336400

1958376336400 is an abundant number, since it is smaller than the sum of its proper divisors (3214047443879).

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

1958376336400 is an frugal number, since it uses more digits than its factorization.

1958376336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12762 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 1958376336400 in words is "one trillion, nine hundred fifty-eight billion, three hundred seventy-six million, three hundred thirty-six thousand, four hundred".