40261536000 has 1080 divisors, whose sum is σ = 174836798136. Its totient is φ = 9173606400.

The previous prime is 40261535981. The next prime is 40261536017. The reversal of 40261536000 is 63516204.

40261536000 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 1 + 53 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8787937536 + 31473598464 = 93744^2 + 177408^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 127007842 + ... + 127008158.

Almost surely, 2^40261536000 is an apocalyptic number.

40261536000 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 40261536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87418399068).

40261536000 is an abundant number, since it is smaller than the sum of its proper divisors (134575262136).

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

40261536000 is an equidigital number, since it uses as much as digits as its factorization.

40261536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 40261536000 in words is "forty billion, two hundred sixty-one million, five hundred thirty-six thousand".