40169052000 has 1152 divisors, whose sum is σ = 182410195968. Its totient is φ = 8128512000.

The previous prime is 40169051947. The next prime is 40169052019. The reversal of 40169052000 is 25096104.

40169052000 is a `hidden beast` number, since 40 + 16 + 90 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×40169052000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119195832 + ... + 119196168.

It is an arithmetic number, because the mean of its divisors is an integer number (158342184).

Almost surely, 2^40169052000 is an apocalyptic number.

40169052000 is a gapful number since it is divisible by the number (40) 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 40169052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91205097984).

40169052000 is an abundant number, since it is smaller than the sum of its proper divisors (142241143968).

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

40169052000 is a wasteful number, since it uses less digits than its factorization.

40169052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 40169052000 in words is "forty billion, one hundred sixty-nine million, fifty-two thousand".