49461287178240 has 3328 divisors, whose sum is σ = 224079339110400. Its totient is φ = 10244743888896.

The previous prime is 49461287178187. The next prime is 49461287178253. The reversal of 49461287178240 is 4287178216494.

49461287178240 is a `hidden beast` number, since 4 + 9 + 4 + 612 + 8 + 7 + 1 + 7 + 8 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2150490746869 + ... + 2150490746891.

Almost surely, 2^{49461287178240} is an apocalyptic number.

49461287178240 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 49461287178240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039669555200).

49461287178240 is an abundant number, since it is smaller than the sum of its proper divisors (174618051932160).

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

49461287178240 is an frugal number, since it uses more digits than its factorization.

49461287178240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 49461287178240 in words is "forty-nine trillion, four hundred sixty-one billion, two hundred eighty-seven million, one hundred seventy-eight thousand, two hundred forty".