40040017561152 has 672 divisors, whose sum is σ = 144918407485440. Its totient is φ = 10615348961280.

The previous prime is 40040017561147. The next prime is 40040017561241. The reversal of 40040017561152 is 25116571004004.

40040017561152 is a `hidden beast` number, since 4 + 0 + 0 + 40 + 0 + 1 + 7 + 561 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248117163 + ... + 248278485.

Almost surely, 2^{40040017561152} is an apocalyptic number.

40040017561152 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 40040017561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72459203742720).

40040017561152 is an abundant number, since it is smaller than the sum of its proper divisors (104878389924288).

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

40040017561152 is a wasteful number, since it uses less digits than its factorization.

40040017561152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161456 (or 161423 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 40040017561152 its reverse (25116571004004), we get a palindrome (65156588565156).

The spelling of 40040017561152 in words is "forty trillion, forty billion, seventeen million, five hundred sixty-one thousand, one hundred fifty-two".