114049900440 has 576 divisors, whose sum is σ = 441347961600. Its totient is φ = 25008293376.

The previous prime is 114049900409. The next prime is 114049900487. The reversal of 114049900440 is 44009940411.

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 = 114049900395 and 114049900404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1065886867 + ... + 1065886973.

It is an arithmetic number, because the mean of its divisors is an integer number (766229100).

Almost surely, 2^114049900440 is an apocalyptic number.

114049900440 is a gapful number since it is divisible by the number (10) 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 114049900440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220673980800).

114049900440 is an abundant number, since it is smaller than the sum of its proper divisors (327298061160).

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

114049900440 is a wasteful number, since it uses less digits than its factorization.

114049900440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 114049900440 in words is "one hundred fourteen billion, forty-nine million, nine hundred thousand, four hundred forty".