1007258854140 has 432 divisors, whose sum is σ = 3852448803840. Its totient is φ = 208519660800.

The previous prime is 1007258854123. The next prime is 1007258854153. The reversal of 1007258854140 is 414588527001.

1007258854140 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 2 + 588 + 54 + 14 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 41304471 + ... + 41328849.

Almost surely, 2^{1007258854140} is an apocalyptic number.

1007258854140 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 1007258854140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926224401920).

1007258854140 is an abundant number, since it is smaller than the sum of its proper divisors (2845189949700).

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

1007258854140 is a wasteful number, since it uses less digits than its factorization.

1007258854140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24694 (or 24678 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 1007258854140 in words is "one trillion, seven billion, two hundred fifty-eight million, eight hundred fifty-four thousand, one hundred forty".