1257119666400 has 1152 divisors, whose sum is σ = 4775724334080. Its totient is φ = 284761128960.

The previous prime is 1257119666371. The next prime is 1257119666401. The reversal of 1257119666400 is 46669117521.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1257119666400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257119666401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3000285391 + ... + 3000285809.

It is an arithmetic number, because the mean of its divisors is an integer number (4145594040).

Almost surely, 2^{1257119666400} is an apocalyptic number.

1257119666400 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 1257119666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387862167040).

1257119666400 is an abundant number, since it is smaller than the sum of its proper divisors (3518604667680).

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

1257119666400 is a wasteful number, since it uses less digits than its factorization.

1257119666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 1257119666400 in words is "one trillion, two hundred fifty-seven billion, one hundred nineteen million, six hundred sixty-six thousand, four hundred".