1451939040 has 192 divisors, whose sum is σ = 5190635520. Its totient is φ = 378892800.

The previous prime is 1451939039. The next prime is 1451939059. The reversal of 1451939040 is 409391541.

It is a happy number.

1451939040 is a `hidden beast` number, since 14 + 519 + 3 + 90 + 40 = 666.

It is a super-2 number, since 2×1451939040² = 4216253951752243200, which contains 22 as substring.

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 = 1451938986 and 1451939004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199465 + ... + 206615.

It is an arithmetic number, because the mean of its divisors is an integer number (27034560).

Almost surely, 2^1451939040 is an apocalyptic number.

1451939040 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 1451939040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595317760).

1451939040 is an abundant number, since it is smaller than the sum of its proper divisors (3738696480).

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

1451939040 is a wasteful number, since it uses less digits than its factorization.

1451939040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7222 (or 7208 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1451939040 is about 38104.3178655648. The cubic root of 1451939040 is about 1132.3555010585.

The spelling of 1451939040 in words is "one billion, four hundred fifty-one million, nine hundred thirty-nine thousand, forty".