49033261440 has 256 divisors, whose sum is σ = 174140928000. Its totient is φ = 13039294464.

The previous prime is 49033261363. The next prime is 49033261489. The reversal of 49033261440 is 4416233094.

It is a happy number.

49033261440 is a `hidden beast` number, since 4 + 9 + 0 + 3 + 32 + 614 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49033261395 and 49033261404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6545377 + ... + 6552863.

It is an arithmetic number, because the mean of its divisors is an integer number (680238000).

Almost surely, 2^49033261440 is an apocalyptic number.

49033261440 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 49033261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87070464000).

49033261440 is an abundant number, since it is smaller than the sum of its proper divisors (125107666560).

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

49033261440 is a wasteful number, since it uses less digits than its factorization.

49033261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7894 (or 7876 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 49033261440 in words is "forty-nine billion, thirty-three million, two hundred sixty-one thousand, four hundred forty".