1616994973440 has 2304 divisors, whose sum is σ = 7730911641600. Its totient is φ = 309967257600.

The previous prime is 1616994973427. The next prime is 1616994973441. The reversal of 1616994973440 is 443794996161.

1616994973440 is a `hidden beast` number, since 1 + 6 + 16 + 9 + 94 + 97 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1616994973440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616994973441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1774966585 + ... + 1774967495.

It is an arithmetic number, because the mean of its divisors is an integer number (3355430400).

Almost surely, 2^{1616994973440} is an apocalyptic number.

1616994973440 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 1616994973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865455820800).

1616994973440 is an abundant number, since it is smaller than the sum of its proper divisors (6113916668160).

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

1616994973440 is a wasteful number, since it uses less digits than its factorization.

1616994973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 1616994973440 in words is "one trillion, six hundred sixteen billion, nine hundred ninety-four million, nine hundred seventy-three thousand, four hundred forty".