10003114001040 has 80 divisors (see below), whose sum is σ = 31010603908608. Its totient is φ = 2667415303168.

The previous prime is 10003114000991. The next prime is 10003114001107. The reversal of 10003114001040 is 4010041130001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 7418692 + ... + 8662748.

Almost surely, 2^{10003114001040} is an apocalyptic number.

10003114001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003114001040 is an abundant number, since it is smaller than the sum of its proper divisors (21007489907568).

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

10003114001040 is a wasteful number, since it uses less digits than its factorization.

10003114001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277576 (or 1277570 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10003114001040 its reverse (4010041130001), we get a palindrome (14013155131041).

The spelling of 10003114001040 in words is "ten trillion, three billion, one hundred fourteen million, one thousand, forty".