290741472000 has 864 divisors, whose sum is σ = 1237103038080. Its totient is φ = 64150732800.

The previous prime is 290741471957. The next prime is 290741472017. The reversal of 290741472000 is 274147092.

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 95 ways as a sum of consecutive naturals, for example, 58461514 + ... + 58466486.

It is an arithmetic number, because the mean of its divisors is an integer number (1431832220).

Almost surely, 2^290741472000 is an apocalyptic number.

290741472000 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 290741472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618551519040).

290741472000 is an abundant number, since it is smaller than the sum of its proper divisors (946361566080).

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

290741472000 is a wasteful number, since it uses less digits than its factorization.

290741472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 290741472000 in words is "two hundred ninety billion, seven hundred forty-one million, four hundred seventy-two thousand".