1005145340400 has 120 divisors (see below), whose sum is σ = 3577572898160. Its totient is φ = 268038754560.

The previous prime is 1005145340399. The next prime is 1005145340411. The reversal of 1005145340400 is 40435415001.

It is a happy number.

1005145340400 is a `hidden beast` number, since 100 + 514 + 5 + 3 + 4 + 0 + 40 + 0 = 666.

1005145340400 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 tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46523707 + ... + 46545306.

Almost surely, 2^{1005145340400} is an apocalyptic number.

1005145340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005145340400 is an abundant number, since it is smaller than the sum of its proper divisors (2572427557760).

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

1005145340400 is a wasteful number, since it uses less digits than its factorization.

1005145340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93069040 (or 93069023 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 1005145340400 in words is "one trillion, five billion, one hundred forty-five million, three hundred forty thousand, four hundred".