49164379440 has 240 divisors, whose sum is σ = 176623338240. Its totient is φ = 11217367040.

The previous prime is 49164379427. The next prime is 49164379463. The reversal of 49164379440 is 4497346194.

49164379440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730741 + ... + 795179.

It is an arithmetic number, because the mean of its divisors is an integer number (735930576).

Almost surely, 2^49164379440 is an apocalyptic number.

49164379440 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 49164379440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88311669120).

49164379440 is an abundant number, since it is smaller than the sum of its proper divisors (127458958800).

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

49164379440 is a wasteful number, since it uses less digits than its factorization.

49164379440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64500 (or 64477 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 49164379440 in words is "forty-nine billion, one hundred sixty-four million, three hundred seventy-nine thousand, four hundred forty".