11142010020400 has 360 divisors, whose sum is σ = 31318031075760. Its totient is φ = 3798224640000.

The previous prime is 11142010020373. The next prime is 11142010020467. The reversal of 11142010020400 is 402001024111.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3010538550 + ... + 3010542250.

It is an arithmetic number, because the mean of its divisors is an integer number (86994530766).

Almost surely, 2^{11142010020400} is an apocalyptic number.

11142010020400 is a gapful number since it is divisible by the number (10) 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 11142010020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15659015537880).

11142010020400 is an abundant number, since it is smaller than the sum of its proper divisors (20176021055360).

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

11142010020400 is a wasteful number, since it uses less digits than its factorization.

11142010020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11142010020400 its reverse (402001024111), we get a palindrome (11544011044511).

The spelling of 11142010020400 in words is "eleven trillion, one hundred forty-two billion, ten million, twenty thousand, four hundred".