49400655389280 has 1152 divisors, whose sum is σ = 187748620899840. Its totient is φ = 11752116387840.

The previous prime is 49400655389269. The next prime is 49400655389317. The reversal of 49400655389280 is 8298355600494.

49400655389280 is a `hidden beast` number, since 4 + 9 + 4 + 0 + 0 + 6 + 5 + 538 + 92 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35771654190 + ... + 35771655570.

It is an arithmetic number, because the mean of its divisors is an integer number (162976233420).

Almost surely, 2^{49400655389280} is an apocalyptic number.

49400655389280 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 49400655389280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93874310449920).

49400655389280 is an abundant number, since it is smaller than the sum of its proper divisors (138347965510560).

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

49400655389280 is a wasteful number, since it uses less digits than its factorization.

49400655389280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 49400655389280 in words is "forty-nine trillion, four hundred billion, six hundred fifty-five million, three hundred eighty-nine thousand, two hundred eighty".