4032114131040 has 96 divisors (see below), whose sum is σ = 12701656922976. Its totient is φ = 1075188326400.

The previous prime is 4032114131039. The next prime is 4032114131041. The reversal of 4032114131040 is 401314112304.

It is an interprime number because it is at equal distance from previous prime (4032114131039) and next prime (4032114131041).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4032114131040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032114131041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13241944 + ... + 13543016.

It is an arithmetic number, because the mean of its divisors is an integer number (132308926281).

Almost surely, 2^{4032114131040} is an apocalyptic number.

4032114131040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4032114131040 is an abundant number, since it is smaller than the sum of its proper divisors (8669542791936).

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

4032114131040 is a wasteful number, since it uses less digits than its factorization.

4032114131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328992 (or 328984 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 4032114131040 its reverse (401314112304), we get a palindrome (4433428243344).

The spelling of 4032114131040 in words is "four trillion, thirty-two billion, one hundred fourteen million, one hundred thirty-one thousand, forty".