4142010032400 has 120 divisors (see below), whose sum is σ = 13337706760704. Its totient is φ = 1098753036800.

The previous prime is 4142010032341. The next prime is 4142010032429. The reversal of 4142010032400 is 42300102414.

It is a tau number, because it is divible by the number of its divisors (120).

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, 8806599 + ... + 9264998.

Almost surely, 2^{4142010032400} is an apocalyptic number.

4142010032400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142010032400 is an abundant number, since it is smaller than the sum of its proper divisors (9195696728304).

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

4142010032400 is a wasteful number, since it uses less digits than its factorization.

4142010032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18071809 (or 18071798 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 4142010032400 its reverse (42300102414), we get a palindrome (4184310134814).

The spelling of 4142010032400 in words is "four trillion, one hundred forty-two billion, ten million, thirty-two thousand, four hundred".