1241381462400 has 384 divisors, whose sum is σ = 4558709786400. Its totient is φ = 329898516480.

The previous prime is 1241381462389. The next prime is 1241381462411. The reversal of 1241381462400 is 42641831421.

1241381462400 is a `hidden beast` number, since 1 + 2 + 4 + 13 + 8 + 14 + 624 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1241381462389) and next prime (1241381462411).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1241381462400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25290682 + ... + 25339718.

Almost surely, 2^{1241381462400} is an apocalyptic number.

1241381462400 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 1241381462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279354893200).

1241381462400 is an abundant number, since it is smaller than the sum of its proper divisors (3317328324000).

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

1241381462400 is a wasteful number, since it uses less digits than its factorization.

1241381462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49363 (or 49340 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 1241381462400 in words is "one trillion, two hundred forty-one billion, three hundred eighty-one million, four hundred sixty-two thousand, four hundred".