1142552400 has 240 divisors, whose sum is σ = 4036938048. Its totient is φ = 273920000.

The previous prime is 1142552357. The next prime is 1142552401. The reversal of 1142552400 is 42552411.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142552401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1332772 + ... + 1333628.

Almost surely, 2^1142552400 is an apocalyptic number.

1142552400 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 1142552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018469024).

1142552400 is an abundant number, since it is smaller than the sum of its proper divisors (2894385648).

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

1142552400 is a wasteful number, since it uses less digits than its factorization.

1142552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1142552400 is about 33801.6626809984. The cubic root of 1142552400 is about 1045.4229799486.

The spelling of 1142552400 in words is "one billion, one hundred forty-two million, five hundred fifty-two thousand, four hundred".