1010006649540 has 72 divisors (see below), whose sum is σ = 3501356389440. Its totient is φ = 230858662464.

The previous prime is 1010006649539. The next prime is 1010006649557. The reversal of 1010006649540 is 459466000101.

1010006649540 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 0 + 6 + 649 + 5 + 4 + 0 = 666.

It is a super-2 number, since 2×1010006649540² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1010006649495 and 1010006649504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400795030 + ... + 400797549.

Almost surely, 2^{1010006649540} is an apocalyptic number.

1010006649540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010006649540 is an abundant number, since it is smaller than the sum of its proper divisors (2491349739900).

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

1010006649540 is a wasteful number, since it uses less digits than its factorization.

1010006649540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801592601 (or 801592596 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1010006649540 in words is "one trillion, ten billion, six million, six hundred forty-nine thousand, five hundred forty".