40222402134400 has 768 divisors, whose sum is σ = 109219709491200. Its totient is φ = 14592304742400.

The previous prime is 40222402134329. The next prime is 40222402134487. The reversal of 40222402134400 is 443120422204.

It is a super-2 number, since 2×40222402134400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 31011874552 + ... + 31011875848.

It is an arithmetic number, because the mean of its divisors is an integer number (142213163400).

Almost surely, 2^{40222402134400} is an apocalyptic number.

40222402134400 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 40222402134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54609854745600).

40222402134400 is an abundant number, since it is smaller than the sum of its proper divisors (68997307356800).

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

40222402134400 is a wasteful number, since it uses less digits than its factorization.

40222402134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 40222402134400 its reverse (443120422204), we get a palindrome (40665522556604).

The spelling of 40222402134400 in words is "forty trillion, two hundred twenty-two billion, four hundred two million, one hundred thirty-four thousand, four hundred".