4030819136100 has 81 divisors (see below), whose sum is σ = 12634567440313. Its totient is φ = 1074869041440.

The previous prime is 4030819136089. The next prime is 4030819136107. The reversal of 4030819136100 is 16319180304.

The square root of 4030819136100 is 2007690.

It is a perfect power (a square), and thus also a powerful number.

4030819136100 is a `hidden beast` number, since 4 + 0 + 30 + 8 + 1 + 9 + 1 + 3 + 610 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1451094888996 + 2579724247104 = 1204614^2 + 1606152^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4030819136107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60197239 + ... + 60264161.

Almost surely, 2^{4030819136100} is an apocalyptic number.

4030819136100 is the 2007690-th square number.

It is an amenable number.

4030819136100 is an abundant number, since it is smaller than the sum of its proper divisors (8603748304213).

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

4030819136100 is an frugal number, since it uses more digits than its factorization.

4030819136100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133866 (or 66933 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 4030819136100 by its sum of digits (36), we get a square (145109488899600 = 12046140²).

4030819136100 divided by its sum of digits (36) gives a square (111967198225 = 334615²).

The spelling of 4030819136100 in words is "four trillion, thirty billion, eight hundred nineteen million, one hundred thirty-six thousand, one hundred".