1851164029440 has 1280 divisors, whose sum is σ = 7617798144000. Its totient is φ = 421382062080.

The previous prime is 1851164029411. The next prime is 1851164029447. The reversal of 1851164029440 is 449204611581.

1851164029440 is a `hidden beast` number, since 1 + 8 + 5 + 116 + 402 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1851164029447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1834651656 + ... + 1834652664.

It is an arithmetic number, because the mean of its divisors is an integer number (5951404800).

Almost surely, 2^{1851164029440} is an apocalyptic number.

1851164029440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1851164029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808899072000).

1851164029440 is an abundant number, since it is smaller than the sum of its proper divisors (5766634114560).

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

1851164029440 is a wasteful number, since it uses less digits than its factorization.

1851164029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1851164029440 in words is "one trillion, eight hundred fifty-one billion, one hundred sixty-four million, twenty-nine thousand, four hundred forty".