1534228934400 has 324 divisors, whose sum is σ = 5488229772480. Its totient is φ = 408902860800.

The previous prime is 1534228934363. The next prime is 1534228934437. The reversal of 1534228934400 is 44398224351.

1534228934400 is a `hidden beast` number, since 1 + 534 + 2 + 2 + 89 + 34 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1534228934363) and next prime (1534228934437).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122624145 + ... + 122636655.

Almost surely, 2^{1534228934400} is an apocalyptic number.

1534228934400 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 1534228934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744114886240).

1534228934400 is an abundant number, since it is smaller than the sum of its proper divisors (3954000838080).

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

1534228934400 is a wasteful number, since it uses less digits than its factorization.

1534228934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14672 (or 14650 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1534228934400 in words is "one trillion, five hundred thirty-four billion, two hundred twenty-eight million, nine hundred thirty-four thousand, four hundred".