40220241010000 has 300 divisors, whose sum is σ = 108817668490212. Its totient is φ = 14344782336000.

The previous prime is 40220241009973. The next prime is 40220241010031. The reversal of 40220241010000 is 1014202204.

It can be written as a sum of positive squares in 10 ways, for example, as 16894007093824 + 23326233916176 = 4110232^2 + 4829724^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 61042314 + ... + 61697686.

Almost surely, 2^{40220241010000} is an apocalyptic number.

40220241010000 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 40220241010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54408834245106).

40220241010000 is an abundant number, since it is smaller than the sum of its proper divisors (68597427480212).

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

40220241010000 is a wasteful number, since it uses less digits than its factorization.

40220241010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655456 (or 655416 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 40220241010000 its reverse (1014202204), we get a palindrome (40221255212204).

The spelling of 40220241010000 in words is "forty trillion, two hundred twenty billion, two hundred forty-one million, ten thousand".