1970821440 has 336 divisors, whose sum is σ = 8016727680. Its totient is φ = 434810880.

The previous prime is 1970821399. The next prime is 1970821481. The reversal of 1970821440 is 441280791.

1970821440 is a `hidden beast` number, since 197 + 0 + 8 + 21 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (1970821399) and next prime (1970821481).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1970821395 and 1970821404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 582955 + ... + 586325.

Almost surely, 2^1970821440 is an apocalyptic number.

1970821440 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 1970821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008363840).

1970821440 is an abundant number, since it is smaller than the sum of its proper divisors (6045906240).

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

1970821440 is a wasteful number, since it uses less digits than its factorization.

1970821440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1970821440 is about 44393.9347208602. The cubic root of 1970821440 is about 1253.7638956296.

The spelling of 1970821440 in words is "one billion, nine hundred seventy million, eight hundred twenty-one thousand, four hundred forty".