1372145040 has 720 divisors, whose sum is σ = 5954083200. Its totient is φ = 281014272.

The previous prime is 1372144967. The next prime is 1372145051. The reversal of 1372145040 is 405412731.

1372145040 is a `hidden beast` number, since 137 + 21 + 4 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 1372144995 and 1372145013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15417316 + ... + 15417404.

It is an arithmetic number, because the mean of its divisors is an integer number (8269560).

Almost surely, 2^1372145040 is an apocalyptic number.

1372145040 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 1372145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977041600).

1372145040 is an abundant number, since it is smaller than the sum of its proper divisors (4581938160).

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

1372145040 is a wasteful number, since it uses less digits than its factorization.

1372145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1372145040 is about 37042.4761591339. The cubic root of 1372145040 is about 1111.2198908907.

Adding to 1372145040 its reverse (405412731), we get a palindrome (1777557771).

The spelling of 1372145040 in words is "one billion, three hundred seventy-two million, one hundred forty-five thousand, forty".