290135912040000 has 2800 divisors, whose sum is σ = 1225652235487680. Its totient is φ = 67251824640000.

The previous prime is 290135912039929. The next prime is 290135912040097. The reversal of 290135912040000 is 40219531092.

290135912040000 is a `hidden beast` number, since 2 + 9 + 0 + 1 + 3 + 591 + 20 + 40 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 144850678999 + ... + 144850681001.

Almost surely, 2^{290135912040000} is an apocalyptic number.

290135912040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290135912040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612826117743840).

290135912040000 is an abundant number, since it is smaller than the sum of its proper divisors (935516323447680).

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

290135912040000 is a wasteful number, since it uses less digits than its factorization.

290135912040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 290135912040000 in words is "two hundred ninety trillion, one hundred thirty-five billion, nine hundred twelve million, forty thousand".