1290069375400 has 72 divisors (see below), whose sum is σ = 3247883324730. Its totient is φ = 476333295360.

The previous prime is 1290069375367. The next prime is 1290069375403. The reversal of 1290069375400 is 45739600921.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 80056175364 + 1210013200036 = 282942^2 + 1100006^2 .

It is a super-2 number, since 2×1290069375400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1290069375403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19050067 + ... + 19117666.

Almost surely, 2^{1290069375400} is an apocalyptic number.

1290069375400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1290069375400 is an abundant number, since it is smaller than the sum of its proper divisors (1957813949330).

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

1290069375400 is a wasteful number, since it uses less digits than its factorization.

1290069375400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38167775 (or 38167753 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 1290069375400 in words is "one trillion, two hundred ninety billion, sixty-nine million, three hundred seventy-five thousand, four hundred".