1290815233840 has 80 divisors (see below), whose sum is σ = 3287676003840. Its totient is φ = 467423317760.

The previous prime is 1290815233831. The next prime is 1290815233901. The reversal of 1290815233840 is 483325180921.

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

It is a super-2 number, since 2×1290815233840² (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2858374 + ... + 3279013.

It is an arithmetic number, because the mean of its divisors is an integer number (41095950048).

Almost surely, 2^{1290815233840} is an apocalyptic number.

1290815233840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1290815233840 is an abundant number, since it is smaller than the sum of its proper divisors (1996860770000).

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

1290815233840 is a wasteful number, since it uses less digits than its factorization.

1290815233840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6137650 (or 6137644 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 1290815233840 in words is "one trillion, two hundred ninety billion, eight hundred fifteen million, two hundred thirty-three thousand, eight hundred forty".