7000401408 has 640 divisors, whose sum is σ = 26068331520. Its totient is φ = 1610219520.

The previous prime is 7000401407. The next prime is 7000401409. The reversal of 7000401408 is 8041040007.

It is an interprime number because it is at equal distance from previous prime (7000401407) and next prime (7000401409).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7000401407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44588466 + ... + 44588622.

It is an arithmetic number, because the mean of its divisors is an integer number (40731768).

Almost surely, 2^7000401408 is an apocalyptic number.

7000401408 is a gapful number since it is divisible by the number (78) 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 7000401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13034165760).

7000401408 is an abundant number, since it is smaller than the sum of its proper divisors (19067930112).

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

7000401408 is a wasteful number, since it uses less digits than its factorization.

7000401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 7000401408 is about 83668.4014906464. The cubic root of 7000401408 is about 1912.9677471154.

The spelling of 7000401408 in words is "seven billion, four hundred one thousand, four hundred eight".