1007730383940 has 288 divisors, whose sum is σ = 3795958333440. Its totient is φ = 211175942400.

The previous prime is 1007730383939. The next prime is 1007730383987. The reversal of 1007730383940 is 493830377001.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63205 + ... + 1421075.

It is an arithmetic number, because the mean of its divisors is an integer number (13180410880).

Almost surely, 2^{1007730383940} is an apocalyptic number.

1007730383940 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 1007730383940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897979166720).

1007730383940 is an abundant number, since it is smaller than the sum of its proper divisors (2788227949500).

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

1007730383940 is a wasteful number, since it uses less digits than its factorization.

1007730383940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357943 (or 1357938 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 1007730383940 in words is "one trillion, seven billion, seven hundred thirty million, three hundred eighty-three thousand, nine hundred forty".