1645151040 has 448 divisors, whose sum is σ = 6356421120. Its totient is φ = 398131200.

The previous prime is 1645151023. The next prime is 1645151069. The reversal of 1645151040 is 401515461.

1645151040 is a `hidden beast` number, since 1 + 64 + 51 + 510 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1645150995 and 1645151013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10894965 + ... + 10895115.

It is an arithmetic number, because the mean of its divisors is an integer number (14188440).

Almost surely, 2^1645151040 is an apocalyptic number.

1645151040 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 1645151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178210560).

1645151040 is an abundant number, since it is smaller than the sum of its proper divisors (4711270080).

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

1645151040 is a wasteful number, since it uses less digits than its factorization.

1645151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1645151040 is about 40560.4615358356. The cubic root of 1645151040 is about 1180.5070692492.

The spelling of 1645151040 in words is "one billion, six hundred forty-five million, one hundred fifty-one thousand, forty".