1268610405090 has 64 divisors (see below), whose sum is σ = 3480933187584. Its totient is φ = 289858419648.

The previous prime is 1268610405043. The next prime is 1268610405137. The reversal of 1268610405090 is 905040168621.

It is an interprime number because it is at equal distance from previous prime (1268610405043) and next prime (1268610405137).

It is a super-2 number, since 2×1268610405090² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585234 + ... + 1696973.

It is an arithmetic number, because the mean of its divisors is an integer number (54389581056).

Almost surely, 2^{1268610405090} is an apocalyptic number.

1268610405090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1268610405090 is an abundant number, since it is smaller than the sum of its proper divisors (2212322782494).

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

1268610405090 is a wasteful number, since it uses less digits than its factorization.

1268610405090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284871.

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 1268610405090 in words is "one trillion, two hundred sixty-eight billion, six hundred ten million, four hundred five thousand, ninety".