40030544052000 has 1152 divisors, whose sum is σ = 153795179079360. Its totient is φ = 9838441267200.

The previous prime is 40030544051999. The next prime is 40030544052041. The reversal of 40030544052000 is 25044503004.

40030544052000 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 0 + 54 + 405 + 200 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 145407992976 + 39885136059024 = 381324^2 + 6315468^2 .

It is a super-2 number, since 2×40030544052000² (a number of 28 digits) contains 22 as substring.

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, 2047274224 + ... + 2047293776.

Almost surely, 2^{40030544052000} is an apocalyptic number.

40030544052000 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 40030544052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76897589539680).

40030544052000 is an abundant number, since it is smaller than the sum of its proper divisors (113764635027360).

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

40030544052000 is a wasteful number, since it uses less digits than its factorization.

40030544052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19703 (or 19682 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 40030544052000 its reverse (25044503004), we get a palindrome (40055588555004).

The spelling of 40030544052000 in words is "forty trillion, thirty billion, five hundred forty-four million, fifty-two thousand".