4164400429640 has 32 divisors (see below), whose sum is σ = 10221710146560. Its totient is φ = 1514327428800.

The previous prime is 4164400429633. The next prime is 4164400429649. The reversal of 4164400429640 is 469240044614.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4164400429591 and 4164400429600.

It is not an unprimeable number, because it can be changed into a prime (4164400429649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4732272776 + ... + 4732273655.

It is an arithmetic number, because the mean of its divisors is an integer number (319428442080).

Almost surely, 2^{4164400429640} is an apocalyptic number.

4164400429640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4164400429640 is an abundant number, since it is smaller than the sum of its proper divisors (6057309716920).

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

4164400429640 is a wasteful number, since it uses less digits than its factorization.

4164400429640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9464546453 (or 9464546449 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 4164400429640 in words is "four trillion, one hundred sixty-four billion, four hundred million, four hundred twenty-nine thousand, six hundred forty".