400700649648 has 320 divisors, whose sum is σ = 1223489691648. Its totient is φ = 111967764480.

The previous prime is 400700649623. The next prime is 400700649653. The reversal of 400700649648 is 846946007004.

400700649648 is digitally balanced in base 4 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×400700649648² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 400700649597 and 400700649606.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23571840 + ... + 23588832.

Almost surely, 2^400700649648 is an apocalyptic number.

400700649648 is a gapful number since it is divisible by the number (48) 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 400700649648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611744845824).

400700649648 is an abundant number, since it is smaller than the sum of its proper divisors (822789042000).

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

400700649648 is a wasteful number, since it uses less digits than its factorization.

400700649648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17124 (or 17118 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 400700649648 in words is "four hundred billion, seven hundred million, six hundred forty-nine thousand, six hundred forty-eight".