49935421440 has 312 divisors, whose sum is σ = 180629242560. Its totient is φ = 12736069632.

The previous prime is 49935421429. The next prime is 49935421489. The reversal of 49935421440 is 4412453994.

49935421440 is a `hidden beast` number, since 4 + 9 + 93 + 542 + 14 + 4 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 4233471 + ... + 4245249.

It is an arithmetic number, because the mean of its divisors is an integer number (578939880).

Almost surely, 2^49935421440 is an apocalyptic number.

49935421440 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 49935421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90314621280).

49935421440 is an abundant number, since it is smaller than the sum of its proper divisors (130693821120).

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

49935421440 is a wasteful number, since it uses less digits than its factorization.

49935421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11837 (or 11812 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 49935421440 in words is "forty-nine billion, nine hundred thirty-five million, four hundred twenty-one thousand, four hundred forty".