50134581469440 has 1728 divisors, whose sum is σ = 201385191571200. Its totient is φ = 11856888594432.

The previous prime is 50134581469429. The next prime is 50134581469451. The reversal of 50134581469440 is 4496418543105.

50134581469440 is a `hidden beast` number, since 5 + 0 + 1 + 3 + 4 + 58 + 146 + 9 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (50134581469429) and next prime (50134581469451).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26853015387 + ... + 26853017253.

Almost surely, 2^{50134581469440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50134581469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100692595785600).

50134581469440 is an abundant number, since it is smaller than the sum of its proper divisors (151250610101760).

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

50134581469440 is a wasteful number, since it uses less digits than its factorization.

50134581469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 50134581469440 in words is "fifty trillion, one hundred thirty-four billion, five hundred eighty-one million, four hundred sixty-nine thousand, four hundred forty".