1461106763400 has 96 divisors (see below), whose sum is σ = 4531592772000. Its totient is φ = 389442508800.

The previous prime is 1461106763393. The next prime is 1461106763401. The reversal of 1461106763400 is 43676011641.

It is not an unprimeable number, because it can be changed into a prime (1461106763401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679320 + ... + 1839480.

It is an arithmetic number, because the mean of its divisors is an integer number (47204091375).

Almost surely, 2^{1461106763400} is an apocalyptic number.

1461106763400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461106763400 is an abundant number, since it is smaller than the sum of its proper divisors (3070486008600).

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

1461106763400 is a wasteful number, since it uses less digits than its factorization.

1461106763400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162279 (or 1162270 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 1461106763400 in words is "one trillion, four hundred sixty-one billion, one hundred six million, seven hundred sixty-three thousand, four hundred".