49121108951040 has 1840 divisors, whose sum is σ = 213982761370752. Its totient is φ = 10567230160896.

The previous prime is 49121108951039. The next prime is 49121108951093. The reversal of 49121108951040 is 4015980112194.

It is a happy number.

49121108951040 is a `hidden beast` number, since 4 + 9 + 1 + 2 + 1 + 10 + 89 + 510 + 40 = 666.

49121108951040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2889476997112 + ... + 2889476997128.

Almost surely, 2^{49121108951040} is an apocalyptic number.

49121108951040 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 49121108951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106991380685376).

49121108951040 is an abundant number, since it is smaller than the sum of its proper divisors (164861652419712).

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

49121108951040 is an frugal number, since it uses more digits than its factorization.

49121108951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 49121108951040 in words is "forty-nine trillion, one hundred twenty-one billion, one hundred eight million, nine hundred fifty-one thousand, forty".