1142130101400 has 576 divisors, whose sum is σ = 4184614980000. Its totient is φ = 278064783360.

The previous prime is 1142130101393. The next prime is 1142130101401. The reversal of 1142130101400 is 41010312411.

1142130101400 is a `hidden beast` number, since 114 + 21 + 30 + 101 + 400 = 666.

It is a super-2 number, since 2×1142130101400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142130101401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 929315986 + ... + 929317214.

Almost surely, 2^{1142130101400} is an apocalyptic number.

1142130101400 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 1142130101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092307490000).

1142130101400 is an abundant number, since it is smaller than the sum of its proper divisors (3042484878600).

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

1142130101400 is a wasteful number, since it uses less digits than its factorization.

1142130101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1142130101400 its reverse (41010312411), we get a palindrome (1183140413811).

The spelling of 1142130101400 in words is "one trillion, one hundred forty-two billion, one hundred thirty million, one hundred one thousand, four hundred".