1405472040 has 512 divisors, whose sum is σ = 5723136000. Its totient is φ = 299870208.

The previous prime is 1405472027. The next prime is 1405472083. The reversal of 1405472040 is 402745041.

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 = 1405471995 and 1405472013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10258852 + ... + 10258988.

It is an arithmetic number, because the mean of its divisors is an integer number (11178000).

Almost surely, 2^1405472040 is an apocalyptic number.

1405472040 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 1405472040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861568000).

1405472040 is an abundant number, since it is smaller than the sum of its proper divisors (4317663960).

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

1405472040 is a wasteful number, since it uses less digits than its factorization.

1405472040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 1405472040 is about 37489.6257650033. The cubic root of 1405472040 is about 1120.1445497956.

The spelling of 1405472040 in words is "one billion, four hundred five million, four hundred seventy-two thousand, forty".