290116382940 has 336 divisors, whose sum is σ = 976458079296. Its totient is φ = 72192384000.

The previous prime is 290116382939. The next prime is 290116382999. The reversal of 290116382940 is 49283611092.

290116382940 is a `hidden beast` number, since 2 + 9 + 0 + 1 + 1 + 638 + 2 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13738390 + ... + 13759490.

It is an arithmetic number, because the mean of its divisors is an integer number (2906125236).

Almost surely, 2^290116382940 is an apocalyptic number.

290116382940 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 290116382940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488229039648).

290116382940 is an abundant number, since it is smaller than the sum of its proper divisors (686341696356).

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

290116382940 is a wasteful number, since it uses less digits than its factorization.

290116382940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21192 (or 21175 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 290116382940 in words is "two hundred ninety billion, one hundred sixteen million, three hundred eighty-two thousand, nine hundred forty".