49071147840 has 784 divisors, whose sum is σ = 205964430336. Its totient is φ = 10973491200.

The previous prime is 49071147823. The next prime is 49071147847. The reversal of 49071147840 is 4874117094.

It is a happy number.

49071147840 is a `hidden beast` number, since 490 + 7 + 114 + 7 + 8 + 40 = 666.

49071147840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (49071147847) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 33358305 + ... + 33359775.

Almost surely, 2^49071147840 is an apocalyptic number.

49071147840 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 49071147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102982215168).

49071147840 is an abundant number, since it is smaller than the sum of its proper divisors (156893282496).

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

49071147840 is a wasteful number, since it uses less digits than its factorization.

49071147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 49071147840 in words is "forty-nine billion, seventy-one million, one hundred forty-seven thousand, eight hundred forty".