1466920036890 has 864 divisors, whose sum is σ = 5108987520000. Its totient is φ = 290594304000.

The previous prime is 1466920036849. The next prime is 1466920036913. The reversal of 1466920036890 is 986300296641.

1466920036890 is a `hidden beast` number, since 1 + 466 + 92 + 0 + 0 + 3 + 6 + 8 + 90 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1174474986 + ... + 1174476234.

It is an arithmetic number, because the mean of its divisors is an integer number (5913180000).

Almost surely, 2^{1466920036890} is an apocalyptic number.

1466920036890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1466920036890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554493760000).

1466920036890 is an abundant number, since it is smaller than the sum of its proper divisors (3642067483110).

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

1466920036890 is a wasteful number, since it uses less digits than its factorization.

1466920036890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 1466920036890 in words is "one trillion, four hundred sixty-six billion, nine hundred twenty million, thirty-six thousand, eight hundred ninety".