1005401001540 has 48 divisors (see below), whose sum is σ = 3031670714688. Its totient is φ = 247483323264.

The previous prime is 1005401001523. The next prime is 1005401001589. The reversal of 1005401001540 is 451001045001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644487042 + ... + 644488601.

It is an arithmetic number, because the mean of its divisors is an integer number (63159806556).

Almost surely, 2^{1005401001540} is an apocalyptic number.

1005401001540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005401001540 is an abundant number, since it is smaller than the sum of its proper divisors (2026269713148).

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

1005401001540 is a wasteful number, since it uses less digits than its factorization.

1005401001540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288975668 (or 1288975666 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 1005401001540 its reverse (451001045001), we get a palindrome (1456402046541).

The spelling of 1005401001540 in words is "one trillion, five billion, four hundred one million, one thousand, five hundred forty".