401270040 has 192 divisors, whose sum is σ = 1392487200. Its totient is φ = 99864576.

The previous prime is 401270039. The next prime is 401270087. The reversal of 401270040 is 40072104.

It is a happy number.

It is a super-2 number, since 2×401270040² = 322035290003203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 401269995 and 401270022.

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, 1058571 + ... + 1058949.

Almost surely, 2^401270040 is an apocalyptic number.

401270040 is a gapful number since it is divisible by the number (40) 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 401270040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696243600).

401270040 is an abundant number, since it is smaller than the sum of its proper divisors (991217160).

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

401270040 is a wasteful number, since it uses less digits than its factorization.

401270040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 401270040 is about 20031.7258367820. The cubic root of 401270040 is about 737.5852870820.

The spelling of 401270040 in words is "four hundred one million, two hundred seventy thousand, forty".