1007141025744 has 200 divisors, whose sum is σ = 3352604669568. Its totient is φ = 285921342720.

The previous prime is 1007141025731. The next prime is 1007141025749. The reversal of 1007141025744 is 4475201417001.

1007141025744 is a `hidden beast` number, since 1 + 0 + 0 + 71 + 4 + 10 + 2 + 574 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1007141025699 and 1007141025708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007141025749) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1070749 + ... + 1777859.

Almost surely, 2^{1007141025744} is an apocalyptic number.

1007141025744 is a gapful number since it is divisible by the number (14) 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 1007141025744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676302334784).

1007141025744 is an abundant number, since it is smaller than the sum of its proper divisors (2345463643824).

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

1007141025744 is a wasteful number, since it uses less digits than its factorization.

1007141025744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707295 (or 707280 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 1007141025744 in words is "one trillion, seven billion, one hundred forty-one million, twenty-five thousand, seven hundred forty-four".