49401011109888 has 720 divisors, whose sum is σ = 154925203032600. Its totient is φ = 15729558552576.

The previous prime is 49401011109887. The next prime is 49401011109893. The reversal of 49401011109888 is 88890111010494.

49401011109888 is a `hidden beast` number, since 49 + 401 + 0 + 1 + 110 + 9 + 8 + 88 = 666.

It is a super-2 number, since 2×49401011109888² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49401011109887) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67395649170 + ... + 67395649902.

Almost surely, 2^{49401011109888} is an apocalyptic number.

49401011109888 is a gapful number since it is divisible by the number (48) 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 49401011109888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77462601516300).

49401011109888 is an abundant number, since it is smaller than the sum of its proper divisors (105524191922712).

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

49401011109888 is an frugal number, since it uses more digits than its factorization.

49401011109888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 54.

The spelling of 49401011109888 in words is "forty-nine trillion, four hundred one billion, eleven million, one hundred nine thousand, eight hundred eighty-eight".