40269104612352 has 1408 divisors, whose sum is σ = 153883296399360. Its totient is φ = 10095611904000.

The previous prime is 40269104612327. The next prime is 40269104612369. The reversal of 40269104612352 is 25321640196204.

40269104612352 is a `hidden beast` number, since 4 + 0 + 26 + 9 + 1 + 0 + 4 + 612 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a junction number, because it is equal to n+sod(n) for n = 40269104612298 and 40269104612307.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41643334173 + ... + 41643335139.

It is an arithmetic number, because the mean of its divisors is an integer number (109292113920).

Almost surely, 2^{40269104612352} is an apocalyptic number.

40269104612352 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 40269104612352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76941648199680).

40269104612352 is an abundant number, since it is smaller than the sum of its proper divisors (113614191787008).

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

40269104612352 is a wasteful number, since it uses less digits than its factorization.

40269104612352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 40269104612352 in words is "forty trillion, two hundred sixty-nine billion, one hundred four million, six hundred twelve thousand, three hundred fifty-two".