1376428440432 has 160 divisors (see below), whose sum is σ = 3797756928000. Its totient is φ = 428339487744.

The previous prime is 1376428440421. The next prime is 1376428440463. The reversal of 1376428440432 is 2340448246731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 17217898 + ... + 17297654.

It is an arithmetic number, because the mean of its divisors is an integer number (23735980800).

Almost surely, 2^{1376428440432} is an apocalyptic number.

1376428440432 is a gapful number since it is divisible by the number (12) 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 1376428440432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898878464000).

1376428440432 is an abundant number, since it is smaller than the sum of its proper divisors (2421328487568).

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

1376428440432 is a wasteful number, since it uses less digits than its factorization.

1376428440432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80063 (or 80057 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 48.

The spelling of 1376428440432 in words is "one trillion, three hundred seventy-six billion, four hundred twenty-eight million, four hundred forty thousand, four hundred thirty-two".