1203145574400 has 2304 divisors, whose sum is σ = 5615640576000. Its totient is φ = 245248819200.

The previous prime is 1203145574357. The next prime is 1203145574419. The reversal of 1203145574400 is 44755413021.

1203145574400 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 1 + 45 + 574 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 191 ways as a sum of consecutive naturals, for example, 9473587137 + ... + 9473587263.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344000).

Almost surely, 2^{1203145574400} is an apocalyptic number.

1203145574400 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 1203145574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807820288000).

1203145574400 is an abundant number, since it is smaller than the sum of its proper divisors (4412495001600).

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

1203145574400 is a wasteful number, since it uses less digits than its factorization.

1203145574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 1203145574400 in words is "one trillion, two hundred three billion, one hundred forty-five million, five hundred seventy-four thousand, four hundred".