40042212134400 has 2880 divisors, whose sum is σ = 182146644725760. Its totient is φ = 8189824204800.

The previous prime is 40042212134347. The next prime is 40042212134453. The reversal of 40042212134400 is 443121224004.

40042212134400 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 2 + 2 + 1 + 213 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40042212134347) and next prime (40042212134453).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25073394402 + ... + 25073395998.

It is an arithmetic number, because the mean of its divisors is an integer number (63245362752).

Almost surely, 2^{40042212134400} is an apocalyptic number.

40042212134400 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 40042212134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91073322362880).

40042212134400 is an abundant number, since it is smaller than the sum of its proper divisors (142104432591360).

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

40042212134400 is a wasteful number, since it uses less digits than its factorization.

40042212134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40042212134400 its reverse (443121224004), we get a palindrome (40485333358404).

The spelling of 40042212134400 in words is "forty trillion, forty-two billion, two hundred twelve million, one hundred thirty-four thousand, four hundred".