1451136401344 has 56 divisors (see below), whose sum is σ = 3337321817088. Its totient is φ = 613156212480.

The previous prime is 1451136401263. The next prime is 1451136401357. The reversal of 1451136401344 is 4431046311541.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1451136401344² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22779064 + ... + 22842679.

It is an arithmetic number, because the mean of its divisors is an integer number (59595032448).

Almost surely, 2^{1451136401344} is an apocalyptic number.

1451136401344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1451136401344 is an abundant number, since it is smaller than the sum of its proper divisors (1886185415744).

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

1451136401344 is an equidigital number, since it uses as much as digits as its factorization.

1451136401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45621833 (or 45621823 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 1451136401344 in words is "one trillion, four hundred fifty-one billion, one hundred thirty-six million, four hundred one thousand, three hundred forty-four".