4132758003400 has 96 divisors (see below), whose sum is σ = 10348694516160. Its totient is φ = 1525808067840.

The previous prime is 4132758003397. The next prime is 4132758003427. The reversal of 4132758003400 is 43008572314.

It is a happy number.

4132758003400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4132758003400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32652639 + ... + 32778961.

It is an arithmetic number, because the mean of its divisors is an integer number (107798901210).

Almost surely, 2^{4132758003400} is an apocalyptic number.

4132758003400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4132758003400 is an abundant number, since it is smaller than the sum of its proper divisors (6215936512760).

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

4132758003400 is a wasteful number, since it uses less digits than its factorization.

4132758003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138935 (or 138926 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 4132758003400 in words is "four trillion, one hundred thirty-two billion, seven hundred fifty-eight million, three thousand, four hundred".