1007052963840 has 1920 divisors, whose sum is σ = 4581046794240. Its totient is φ = 206391214080.

The previous prime is 1007052963799. The next prime is 1007052963883. The reversal of 1007052963840 is 483692507001.

1007052963840 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 0 + 5 + 2 + 9 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13795246044 + ... + 13795246116.

It is an arithmetic number, because the mean of its divisors is an integer number (2385961872).

It is a 1-persistent number, because it is pandigital, but 2⋅1007052963840 = 2014105927680 is not.

Almost surely, 2^{1007052963840} is an apocalyptic number.

1007052963840 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 1007052963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290523397120).

1007052963840 is an abundant number, since it is smaller than the sum of its proper divisors (3573993830400).

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

1007052963840 is an frugal number, since it uses more digits than its factorization.

1007052963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1007052963840 in words is "one trillion, seven billion, fifty-two million, nine hundred sixty-three thousand, eight hundred forty".