1151214131400 has 192 divisors, whose sum is σ = 3606969139200. Its totient is φ = 303717576960.

The previous prime is 1151214131399. The next prime is 1151214131401. The reversal of 1151214131400 is 41314121511.

It is an interprime number because it is at equal distance from previous prime (1151214131399) and next prime (1151214131401).

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

It is not an unprimeable number, because it can be changed into a prime (1151214131401) 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, 27334759 + ... + 27376841.

It is an arithmetic number, because the mean of its divisors is an integer number (18786297600).

Almost surely, 2^{1151214131400} is an apocalyptic number.

1151214131400 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 1151214131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803484569600).

1151214131400 is an abundant number, since it is smaller than the sum of its proper divisors (2455755007800).

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

1151214131400 is a wasteful number, since it uses less digits than its factorization.

1151214131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42588 (or 42579 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 1151214131400 its reverse (41314121511), we get a palindrome (1192528252911).

The spelling of 1151214131400 in words is "one trillion, one hundred fifty-one billion, two hundred fourteen million, one hundred thirty-one thousand, four hundred".