1406705040 has 240 divisors, whose sum is σ = 5129390448. Its totient is φ = 343425024.

The previous prime is 1406705023. The next prime is 1406705057. The reversal of 1406705040 is 405076041.

It is an interprime number because it is at equal distance from previous prime (1406705023) and next prime (1406705057).

It can be written as a sum of positive squares in 8 ways, for example, as 150994944 + 1255710096 = 12288^2 + 35436^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1406705040² = 3957638139122803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1406704995 and 1406705013.

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, 1281772 + ... + 1282868.

Almost surely, 2^1406705040 is an apocalyptic number.

1406705040 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 1406705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564695224).

1406705040 is an abundant number, since it is smaller than the sum of its proper divisors (3722685408).

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

1406705040 is a wasteful number, since it uses less digits than its factorization.

1406705040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1257 counting only the distinct ones).

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

The square root of 1406705040 is about 37506.0667092672. The cubic root of 1406705040 is about 1120.4720161802.

The spelling of 1406705040 in words is "one billion, four hundred six million, seven hundred five thousand, forty".