1257480806400 has 3360 divisors, whose sum is σ = 6194425406400. Its totient is φ = 249707888640.

The previous prime is 1257480806381. The next prime is 1257480806419. The reversal of 1257480806400 is 46080847521.

1257480806400 is a `hidden beast` number, since 1 + 2 + 57 + 480 + 80 + 6 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1257480806381) and next prime (1257480806419).

It is a tau number, because it is divible by the number of its divisors (3360).

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 239 ways as a sum of consecutive naturals, for example, 73969459192 + ... + 73969459208.

It is an arithmetic number, because the mean of its divisors is an integer number (1843578990).

Almost surely, 2^{1257480806400} is an apocalyptic number.

1257480806400 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 1257480806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097212703200).

1257480806400 is an abundant number, since it is smaller than the sum of its proper divisors (4936944600000).

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

1257480806400 is an equidigital number, since it uses as much as digits as its factorization.

1257480806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1257480806400 in words is "one trillion, two hundred fifty-seven billion, four hundred eighty million, eight hundred six thousand, four hundred".