1007742651840 has 448 divisors, whose sum is σ = 3769913923200. Its totient is φ = 252540813312.

The previous prime is 1007742651827. The next prime is 1007742651899. The reversal of 1007742651840 is 481562477001.

1007742651840 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 74 + 26 + 518 + 40 = 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 63 ways as a sum of consecutive naturals, for example, 104133082 + ... + 104142758.

Almost surely, 2^{1007742651840} is an apocalyptic number.

1007742651840 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 1007742651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884956961600).

1007742651840 is an abundant number, since it is smaller than the sum of its proper divisors (2762171271360).

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

1007742651840 is a wasteful number, since it uses less digits than its factorization.

1007742651840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10429 (or 10413 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 1007742651840 in words is "one trillion, seven billion, seven hundred forty-two million, six hundred fifty-one thousand, eight hundred forty".