1251444400420 has 96 divisors (see below), whose sum is σ = 2678567149440. Its totient is φ = 491062010880.

The previous prime is 1251444400399. The next prime is 1251444400433. The reversal of 1251444400420 is 240044441521.

It is a super-2 number, since 2×1251444400420² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123423711 + ... + 123433849.

It is an arithmetic number, because the mean of its divisors is an integer number (27901741140).

Almost surely, 2^{1251444400420} is an apocalyptic number.

1251444400420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1251444400420 is an abundant number, since it is smaller than the sum of its proper divisors (1427122749020).

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

1251444400420 is a wasteful number, since it uses less digits than its factorization.

1251444400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10813 (or 10811 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

Adding to 1251444400420 its reverse (240044441521), we get a palindrome (1491488841941).

The spelling of 1251444400420 in words is "one trillion, two hundred fifty-one billion, four hundred forty-four million, four hundred thousand, four hundred twenty".