49434157440 has 640 divisors, whose sum is σ = 191942784000. Its totient is φ = 12078305280.

The previous prime is 49434157411. The next prime is 49434157441. The reversal of 49434157440 is 4475143494.

49434157440 is a `hidden beast` number, since 4 + 9 + 4 + 34 + 1 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (49434157441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30532951 + ... + 30534569.

It is an arithmetic number, because the mean of its divisors is an integer number (299910600).

Almost surely, 2^49434157440 is an apocalyptic number.

49434157440 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 49434157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95971392000).

49434157440 is an abundant number, since it is smaller than the sum of its proper divisors (142508626560).

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

49434157440 is a wasteful number, since it uses less digits than its factorization.

49434157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 49434157440 in words is "forty-nine billion, four hundred thirty-four million, one hundred fifty-seven thousand, four hundred forty".