1260026150400 has 1440 divisors, whose sum is σ = 4938322989600. Its totient is φ = 317708697600.

The previous prime is 1260026150393. The next prime is 1260026150401. The reversal of 1260026150400 is 40516200621.

1260026150400 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 0 + 2 + 615 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260026150401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5502297486 + ... + 5502297714.

It is an arithmetic number, because the mean of its divisors is an integer number (3429390965).

Almost surely, 2^{1260026150400} is an apocalyptic number.

1260026150400 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 1260026150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469161494800).

1260026150400 is an abundant number, since it is smaller than the sum of its proper divisors (3678296839200).

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

1260026150400 is an equidigital number, since it uses as much as digits as its factorization.

1260026150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 1260026150400 in words is "one trillion, two hundred sixty billion, twenty-six million, one hundred fifty thousand, four hundred".