1245015743400 has 768 divisors, whose sum is σ = 5334521068800. Its totient is φ = 262213632000.

The previous prime is 1245015743299. The next prime is 1245015743407. The reversal of 1245015743400 is 43475105421.

1245015743400 is a `hidden beast` number, since 1 + 2 + 4 + 50 + 1 + 574 + 34 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1245015743407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13079980 + ... + 13174820.

It is an arithmetic number, because the mean of its divisors is an integer number (6945990975).

Almost surely, 2^{1245015743400} is an apocalyptic number.

1245015743400 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 1245015743400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667260534400).

1245015743400 is an abundant number, since it is smaller than the sum of its proper divisors (4089505325400).

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

1245015743400 is a wasteful number, since it uses less digits than its factorization.

1245015743400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94907 (or 94892 counting only the distinct ones).

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

The spelling of 1245015743400 in words is "one trillion, two hundred forty-five billion, fifteen million, seven hundred forty-three thousand, four hundred".