290534999040 has 2112 divisors, whose sum is σ = 1297846996992. Its totient is φ = 61312204800.

The previous prime is 290534999039. The next prime is 290534999059. The reversal of 290534999040 is 40999435092.

290534999040 is a `hidden beast` number, since 29 + 0 + 5 + 3 + 499 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-3 number, since 3×290534999040³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4092042205 + ... + 4092042275.

Almost surely, 2^290534999040 is an apocalyptic number.

290534999040 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 290534999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648923498496).

290534999040 is an abundant number, since it is smaller than the sum of its proper divisors (1007311997952).

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

290534999040 is a wasteful number, since it uses less digits than its factorization.

290534999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 290534999040 in words is "two hundred ninety billion, five hundred thirty-four million, nine hundred ninety-nine thousand, forty".