1352624263440 has 80 divisors (see below), whose sum is σ = 4234651482816. Its totient is φ = 357128512000.

The previous prime is 1352624263411. The next prime is 1352624263477. The reversal of 1352624263440 is 443624262531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1352624263392 and 1352624263401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27876426 + ... + 27924905.

Almost surely, 2^{1352624263440} is an apocalyptic number.

1352624263440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1352624263440 is an abundant number, since it is smaller than the sum of its proper divisors (2882027219376).

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

1352624263440 is a wasteful number, since it uses less digits than its factorization.

1352624263440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55801448 (or 55801442 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

Subtracting from 1352624263440 its reverse (443624262531), we obtain a palindrome (909000000909).

The spelling of 1352624263440 in words is "one trillion, three hundred fifty-two billion, six hundred twenty-four million, two hundred sixty-three thousand, four hundred forty".