1400629644324 has 135 divisors (see below), whose sum is σ = 3765276117603. Its totient is φ = 454002630912.

The previous prime is 1400629644317. The next prime is 1400629644331. The reversal of 1400629644324 is 4234469260041.

The square root of 1400629644324 is 1183482.

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

1400629644324 is a `hidden beast` number, since 1 + 40 + 0 + 62 + 96 + 443 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (1400629644317) and next prime (1400629644331).

It can be written as a sum of positive squares in 4 ways, for example, as 278131773924 + 1122497870400 = 527382^2 + 1059480^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1400629644324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 788198124 + ... + 788199900.

Almost surely, 2^{1400629644324} is an apocalyptic number.

1400629644324 is the 1183482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400629644324

1400629644324 is an abundant number, since it is smaller than the sum of its proper divisors (2364646473279).

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

1400629644324 is an frugal number, since it uses more digits than its factorization.

1400629644324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 1400629644324 in words is "one trillion, four hundred billion, six hundred twenty-nine million, six hundred forty-four thousand, three hundred twenty-four".