949515540480 has 1152 divisors, whose sum is σ = 3718698984000. Its totient is φ = 230979796992.

The previous prime is 949515540469. The next prime is 949515540509. The reversal of 949515540480 is 84045515949.

949515540480 is a `hidden beast` number, since 9 + 4 + 9 + 5 + 1 + 554 + 0 + 4 + 80 = 666.

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

It is a super-2 number, since 2×949515540480² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4819875742 + ... + 4819875938.

Almost surely, 2^949515540480 is an apocalyptic number.

949515540480 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 949515540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859349492000).

949515540480 is an abundant number, since it is smaller than the sum of its proper divisors (2769183443520).

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

949515540480 is a wasteful number, since it uses less digits than its factorization.

949515540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 949515540480 in words is "nine hundred forty-nine billion, five hundred fifteen million, five hundred forty thousand, four hundred eighty".