1257001451400 has 384 divisors, whose sum is σ = 4073695516800. Its totient is φ = 320346316800.

The previous prime is 1257001451393. The next prime is 1257001451417. The reversal of 1257001451400 is 41541007521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 333508716 + ... + 333512484.

It is an arithmetic number, because the mean of its divisors is an integer number (10608582075).

Almost surely, 2^{1257001451400} is an apocalyptic number.

1257001451400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1257001451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036847758400).

1257001451400 is an abundant number, since it is smaller than the sum of its proper divisors (2816694065400).

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

1257001451400 is a wasteful number, since it uses less digits than its factorization.

1257001451400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

Adding to 1257001451400 its reverse (41541007521), we get a palindrome (1298542458921).

The spelling of 1257001451400 in words is "one trillion, two hundred fifty-seven billion, one million, four hundred fifty-one thousand, four hundred".