40214504355300 has 432 divisors, whose sum is σ = 144083476817280. Its totient is φ = 9286396416000.

The previous prime is 40214504355283. The next prime is 40214504355313. The reversal of 40214504355300 is 355340541204.

40214504355300 is a `hidden beast` number, since 4 + 0 + 2 + 14 + 50 + 43 + 553 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 54509286 + ... + 55242114.

Almost surely, 2^{40214504355300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40214504355300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72041738408640).

40214504355300 is an abundant number, since it is smaller than the sum of its proper divisors (103868972461980).

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

40214504355300 is a wasteful number, since it uses less digits than its factorization.

40214504355300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733124 (or 733114 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 40214504355300 its reverse (355340541204), we get a palindrome (40569844896504).

The spelling of 40214504355300 in words is "forty trillion, two hundred fourteen billion, five hundred four million, three hundred fifty-five thousand, three hundred".