1406354040 has 192 divisors, whose sum is σ = 5625547200. Its totient is φ = 296718336.

The previous prime is 1406354017. The next prime is 1406354063. The reversal of 1406354040 is 404536041.

It is an interprime number because it is at equal distance from previous prime (1406354017) and next prime (1406354063).

It is a junction number, because it is equal to n+sod(n) for n = 1406353995 and 1406354013.

It is a congruent number.

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, 11296 + ... + 54224.

It is an arithmetic number, because the mean of its divisors is an integer number (29299725).

Almost surely, 2^1406354040 is an apocalyptic number.

1406354040 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 1406354040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812773600).

1406354040 is an abundant number, since it is smaller than the sum of its proper divisors (4219193160).

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

1406354040 is a wasteful number, since it uses less digits than its factorization.

1406354040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42966 (or 42959 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1406354040 is about 37501.3871743433. The cubic root of 1406354040 is about 1120.3788153120.

The spelling of 1406354040 in words is "one billion, four hundred six million, three hundred fifty-four thousand, forty".