1141502400 has 252 divisors, whose sum is σ = 4296747312. Its totient is φ = 286433280.

The previous prime is 1141502399. The next prime is 1141502413. The reversal of 1141502400 is 42051411.

1141502400 is a `hidden beast` number, since 11 + 415 + 0 + 240 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 242469 + ... + 247131.

Almost surely, 2^1141502400 is an apocalyptic number.

1141502400 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 1141502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148373656).

1141502400 is an abundant number, since it is smaller than the sum of its proper divisors (3155244912).

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

1141502400 is a wasteful number, since it uses less digits than its factorization.

1141502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1141502400 is about 33786.1273306072. The cubic root of 1141502400 is about 1045.1026356157.

Adding to 1141502400 its reverse (42051411), we get a palindrome (1183553811).

The spelling of 1141502400 in words is "one billion, one hundred forty-one million, five hundred two thousand, four hundred".