9903479040 has 1152 divisors, whose sum is σ = 44833259520. Its totient is φ = 2014543872.

The previous prime is 9903479023. The next prime is 9903479051. The reversal of 9903479040 is 409743099.

9903479040 = 249³ + 250³ + ... + 456³.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 147813087 + ... + 147813153.

It is an arithmetic number, because the mean of its divisors is an integer number (38917760).

Almost surely, 2^9903479040 is an apocalyptic number.

9903479040 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 9903479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22416629760).

9903479040 is an abundant number, since it is smaller than the sum of its proper divisors (34929780480).

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

9903479040 is a wasteful number, since it uses less digits than its factorization.

9903479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 9903479040 is about 99516.2250087894. The cubic root of 9903479040 is about 2147.4806646847.

The spelling of 9903479040 in words is "nine billion, nine hundred three million, four hundred seventy-nine thousand, forty".