1242957414400 has 459 divisors, whose sum is σ = 3388429273131. Its totient is φ = 452088299520.

The previous prime is 1242957414373. The next prime is 1242957414427. The reversal of 1242957414400 is 44147592421.

The square root of 1242957414400 is 1114880.

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

It is an interprime number because it is at equal distance from previous prime (1242957414373) and next prime (1242957414427).

It can be written as a sum of positive squares in 4 ways, for example, as 320374112256 + 922583302144 = 566016^2 + 960512^2 .

It is a Duffinian number.

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, 18551603167 + ... + 18551603233.

Almost surely, 2^{1242957414400} is an apocalyptic number.

1242957414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1242957414400 is the 1114880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242957414400

1242957414400 is an abundant number, since it is smaller than the sum of its proper divisors (2145471858731).

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

1242957414400 is an frugal number, since it uses more digits than its factorization.

1242957414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 1242957414400 in words is "one trillion, two hundred forty-two billion, nine hundred fifty-seven million, four hundred fourteen thousand, four hundred".