49019405760 has 672 divisors, whose sum is σ = 188122072320. Its totient is φ = 11639586816.

The previous prime is 49019405759. The next prime is 49019405767. The reversal of 49019405760 is 6750491094.

49019405760 is a `hidden beast` number, since 490 + 1 + 94 + 0 + 5 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49019405767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156611364 + ... + 156611676.

It is an arithmetic number, because the mean of its divisors is an integer number (279943560).

Almost surely, 2^49019405760 is an apocalyptic number.

49019405760 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 49019405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94061036160).

49019405760 is an abundant number, since it is smaller than the sum of its proper divisors (139102666560).

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

49019405760 is a wasteful number, since it uses less digits than its factorization.

49019405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 49019405760 in words is "forty-nine billion, nineteen million, four hundred five thousand, seven hundred sixty".