40025352144000 has 128 divisors (see below), whose sum is σ = 132684042516480. Its totient is φ = 10673427225600.

The previous prime is 40025352143983. The next prime is 40025352144007. The reversal of 40025352144000 is 44125352004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (40025352144007) 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, 416882752 + ... + 416978751.

It is an arithmetic number, because the mean of its divisors is an integer number (1036594082160).

Almost surely, 2^{40025352144000} is an apocalyptic number.

40025352144000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40025352144000 is an abundant number, since it is smaller than the sum of its proper divisors (92658690372480).

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

40025352144000 is an equidigital number, since it uses as much as digits as its factorization.

40025352144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833861535 (or 833861513 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 40025352144000 its reverse (44125352004), we get a palindrome (40069477496004).

The spelling of 40025352144000 in words is "forty trillion, twenty-five billion, three hundred fifty-two million, one hundred forty-four thousand".