1957145040400 has 135 divisors (see below), whose sum is σ = 5169171961933. Its totient is φ = 711577187200.

The previous prime is 1957145040307. The next prime is 1957145040407. The reversal of 1957145040400 is 40405417591.

It is a happy number.

The square root of 1957145040400 is 1398980.

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., 704572214544 + 1252572825856 = 839388^2 + 1119184^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1957145040407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 307772421 + ... + 307778779.

Almost surely, 2^{1957145040400} is an apocalyptic number.

1957145040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1957145040400 is the 1398980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1957145040400

1957145040400 is an abundant number, since it is smaller than the sum of its proper divisors (3212026921533).

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

1957145040400 is an frugal number, since it uses more digits than its factorization.

1957145040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12758 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 1957145040400 in words is "one trillion, nine hundred fifty-seven billion, one hundred forty-five million, forty thousand, four hundred".