49064970240 has 1536 divisors, whose sum is σ = 219927052800. Its totient is φ = 10192158720.

The previous prime is 49064970233. The next prime is 49064970277. The reversal of 49064970240 is 4207946094.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 672122844 + ... + 672122916.

It is an arithmetic number, because the mean of its divisors is an integer number (143181675).

Almost surely, 2^49064970240 is an apocalyptic number.

49064970240 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 49064970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109963526400).

49064970240 is an abundant number, since it is smaller than the sum of its proper divisors (170862082560).

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

49064970240 is a wasteful number, since it uses less digits than its factorization.

49064970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 49064970240 in words is "forty-nine billion, sixty-four million, nine hundred seventy thousand, two hundred forty".