47580912419040 has 7200 divisors, whose sum is σ = 251085441920544. Its totient is φ = 8357410897920.

The previous prime is 47580912419009. The next prime is 47580912419069. The reversal of 47580912419040 is 4091421908574.

47580912419040 is a `hidden beast` number, since 4 + 7 + 580 + 9 + 1 + 2 + 4 + 19 + 0 + 40 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 1199 ways as a sum of consecutive naturals, for example, 1285970605902 + ... + 1285970605938.

Almost surely, 2^{47580912419040} is an apocalyptic number.

47580912419040 is a gapful number since it is divisible by the number (40) 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 47580912419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125542720960272).

47580912419040 is an abundant number, since it is smaller than the sum of its proper divisors (203504529501504).

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

47580912419040 is a wasteful number, since it uses less digits than its factorization.

47580912419040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 47580912419040 in words is "forty-seven trillion, five hundred eighty billion, nine hundred twelve million, four hundred nineteen thousand, forty".