9951405480 has 192 divisors, whose sum is σ = 33886195200. Its totient is φ = 2529584640.

The previous prime is 9951405427. The next prime is 9951405517. The reversal of 9951405480 is 845041599.

9951405480 is a `hidden beast` number, since 9 + 9 + 514 + 0 + 54 + 80 = 666.

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 47 ways as a sum of consecutive naturals, for example, 741066 + ... + 754374.

It is an arithmetic number, because the mean of its divisors is an integer number (176490600).

Almost surely, 2^9951405480 is an apocalyptic number.

9951405480 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 9951405480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16943097600).

9951405480 is an abundant number, since it is smaller than the sum of its proper divisors (23934789720).

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

9951405480 is a wasteful number, since it uses less digits than its factorization.

9951405480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13424 (or 13417 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 9951405480 is about 99756.7315021899. The cubic root of 9951405480 is about 2150.9392312435.

The spelling of 9951405480 in words is "nine billion, nine hundred fifty-one million, four hundred five thousand, four hundred eighty".