1007401645635 has 96 divisors (see below), whose sum is σ = 2050426398720. Its totient is φ = 413360513280.

The previous prime is 1007401645609. The next prime is 1007401645637. The reversal of 1007401645635 is 5365461047001.

1007401645635 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1003694²-1.

It is not a de Polignac number, because 1007401645635 - 2¹² = 1007401641539 is a prime.

It is a super-2 number, since 2×1007401645635² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1007401645637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 501849 + ... + 1505541.

It is an arithmetic number, because the mean of its divisors is an integer number (21358608320).

Almost surely, 2^{1007401645635} is an apocalyptic number.

1007401645635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1007401645635 is an abundant number, since it is smaller than the sum of its proper divisors (1043024753085).

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

1007401645635 is a wasteful number, since it uses less digits than its factorization.

1007401645635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003809 (or 1003798 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 1007401645635 in words is "one trillion, seven billion, four hundred one million, six hundred forty-five thousand, six hundred thirty-five".