990315123840 has 896 divisors, whose sum is σ = 4072895740800. Its totient is φ = 225453735936.

The previous prime is 990315123827. The next prime is 990315123859. The reversal of 990315123840 is 48321513099.

It is a happy number.

990315123840 is a `hidden beast` number, since 9 + 90 + 3 + 1 + 512 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

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, 1152869331 + ... + 1152870189.

Almost surely, 2^990315123840 is an apocalyptic number.

990315123840 is a gapful number since it is divisible by the number (90) 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 990315123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036447870400).

990315123840 is an abundant number, since it is smaller than the sum of its proper divisors (3082580616960).

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

990315123840 is an equidigital number, since it uses as much as digits as its factorization.

990315123840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 990315123840 in words is "nine hundred ninety billion, three hundred fifteen million, one hundred twenty-three thousand, eight hundred forty".