1406420064 has 192 divisors, whose sum is σ = 4964198400. Its totient is φ = 378169344.

The previous prime is 1406420063. The next prime is 1406420107. The reversal of 1406420064 is 4600246041.

1406420064 is a `hidden beast` number, since 14 + 0 + 642 + 0 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406420063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95977 + ... + 109655.

It is an arithmetic number, because the mean of its divisors is an integer number (25855200).

Almost surely, 2^1406420064 is an apocalyptic number.

1406420064 is a gapful number since it is divisible by the number (14) 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 1406420064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482099200).

1406420064 is an abundant number, since it is smaller than the sum of its proper divisors (3557778336).

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

1406420064 is a wasteful number, since it uses less digits than its factorization.

1406420064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13722 (or 13708 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1406420064 is about 37502.2674514489. The cubic root of 1406420064 is about 1120.3963478183.

The spelling of 1406420064 in words is "one billion, four hundred six million, four hundred twenty thousand, sixty-four".