114010203440 has 160 divisors (see below), whose sum is σ = 312890688000. Its totient is φ = 37822482432.

The previous prime is 114010203383. The next prime is 114010203467. The reversal of 114010203440 is 44302010411.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2554436 + ... + 2598684.

It is an arithmetic number, because the mean of its divisors is an integer number (1955566800).

Almost surely, 2^114010203440 is an apocalyptic number.

114010203440 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 114010203440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156445344000).

114010203440 is an abundant number, since it is smaller than the sum of its proper divisors (198880484560).

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

114010203440 is a wasteful number, since it uses less digits than its factorization.

114010203440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44419 (or 44413 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 114010203440 its reverse (44302010411), we get a palindrome (158312213851).

The spelling of 114010203440 in words is "one hundred fourteen billion, ten million, two hundred three thousand, four hundred forty".