43621990504092 has 1152 divisors, whose sum is σ = 154183913275392. Its totient is φ = 10035257702400.

The previous prime is 43621990504087. The next prime is 43621990504097. The reversal of 43621990504092 is 29040509912634.

43621990504092 is a `hidden beast` number, since 4 + 3 + 621 + 9 + 9 + 0 + 5 + 0 + 4 + 0 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (43621990504087) and next prime (43621990504097).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43621990504097) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41036679153 + ... + 41036680215.

It is an arithmetic number, because the mean of its divisors is an integer number (133840202496).

Almost surely, 2^{43621990504092} is an apocalyptic number.

43621990504092 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43621990504092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77091956637696).

43621990504092 is an abundant number, since it is smaller than the sum of its proper divisors (110561922771300).

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

43621990504092 is a wasteful number, since it uses less digits than its factorization.

43621990504092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 43621990504092 in words is "forty-three trillion, six hundred twenty-one billion, nine hundred ninety million, five hundred four thousand, ninety-two".