4190902921440 has 144 divisors (see below), whose sum is σ = 14831139920688. Its totient is φ = 1117574102016.

The previous prime is 4190902921409. The next prime is 4190902921459. The reversal of 4190902921440 is 441292090914.

It is a happy number.

4190902921440 is a `hidden beast` number, since 419 + 0 + 9 + 0 + 2 + 92 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 53856477 + ... + 53934236.

It is an arithmetic number, because the mean of its divisors is an integer number (102994027227).

Almost surely, 2^{4190902921440} is an apocalyptic number.

4190902921440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4190902921440 is an abundant number, since it is smaller than the sum of its proper divisors (10640236999248).

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

4190902921440 is a wasteful number, since it uses less digits than its factorization.

4190902921440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107790743 (or 107790723 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 4190902921440 in words is "four trillion, one hundred ninety billion, nine hundred two million, nine hundred twenty-one thousand, four hundred forty".