49155949440 has 512 divisors, whose sum is σ = 189071769600. Its totient is φ = 11997683712.

The previous prime is 49155949433. The next prime is 49155949441. The reversal of 49155949440 is 4494955194.

49155949440 is a `hidden beast` number, since 4 + 9 + 1 + 5 + 594 + 9 + 4 + 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 not an unprimeable number, because it can be changed into a prime (49155949441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28528419 + ... + 28530141.

It is an arithmetic number, because the mean of its divisors is an integer number (369280800).

Almost surely, 2^49155949440 is an apocalyptic number.

49155949440 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 49155949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94535884800).

49155949440 is an abundant number, since it is smaller than the sum of its proper divisors (139915820160).

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

49155949440 is a wasteful number, since it uses less digits than its factorization.

49155949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 49155949440 in words is "forty-nine billion, one hundred fifty-five million, nine hundred forty-nine thousand, four hundred forty".