1401724760364 has 144 divisors (see below), whose sum is σ = 3625287775200. Its totient is φ = 456501906432.

The previous prime is 1401724760321. The next prime is 1401724760393. The reversal of 1401724760364 is 4630674271041.

1401724760364 is a `hidden beast` number, since 1 + 4 + 0 + 17 + 24 + 7 + 603 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 566810232 + ... + 566812704.

It is an arithmetic number, because the mean of its divisors is an integer number (25175609550).

Almost surely, 2^{1401724760364} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401724760364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812643887600).

1401724760364 is an abundant number, since it is smaller than the sum of its proper divisors (2223563014836).

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

1401724760364 is a wasteful number, since it uses less digits than its factorization.

1401724760364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 1401724760364 in words is "one trillion, four hundred one billion, seven hundred twenty-four million, seven hundred sixty thousand, three hundred sixty-four".